Algebra - Expanding Single Brackets
The website www.symbolab.com shows step-by-step solutions on its expanding brackets calculator
Question 1
Expand the brackets
a) $2(x+3)$
a
$2x+6$
Question ID: 20060010010
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b) $3(x+4)$
a
$3x+12$
Question ID: 20060010020
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c) $5(x+6)$
a
$5x+30$
Question ID: 20060010030
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d) $3(x+9)$
a
$3x+27$
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e) $12(x+2)$
a
$12x+24$
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f) $7(x+1)$
a
$7x+7$
Question ID: 20060010060
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g) $11(x+2)$
a
$11x+22$
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h) $4(x+15)$
a
$4x+60$
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i) $9(x+2)$
a
$9x+18$
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j) $3(x+11)$
a
$3x+33$
Question ID: 20060010100
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k) $7(x+12)$
a
$7x+84$
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Question 2
Expand the brackets
a) $4(x-2)$
a
$4x-8$
Question ID: 20060020010
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b) $5(x-4)$
a
$5x-20$
Question ID: 20060020020
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c) $2(x-8)$
a
$2x-16$
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d) $4(x-12)$
a
$4x-48$
Question ID: 20060020040
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e) $5(x-5)$
a
$5x-25$
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f) $15(x-3)$
a
$15x-45$
Question ID: 20060020060
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g) $3(x-13)$
a
$3x-39$
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h) $8(x-2)$
a
$8x-16$
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i) $14(x-1)$
a
$14x-14$
Question ID: 20060020090
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j) $15(x-5)$
a
$15x-75$
Question ID: 20060020100
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k) $17(x-3)$
a
$17x-51$
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l) $19(x-4)$
a
$19x-76$
Question ID: 20060020120
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m) $14(x-5)$
a
$14x-70$
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Question 3
Expand the brackets
a) $-2(x+3)$
a
$-2x-6$
Question ID: 20060030010
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b) $-5(x+3)$
a
$-5x-15$
Question ID: 20060030020
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c) $-6(x+4)$
a
$-6x-24$
Question ID: 20060030030
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d) $-3(x+3)$
a
$-3x-9$
Question ID: 20060030040
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e) $-9(x+2)$
a
$-9x-18$
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f) $-2(x+1)$
a
$-2x-2$
Question ID: 20060030060
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g) $-6(x+3)$
a
$-6x-18$
Question ID: 20060030070
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h) $-7(x+8)$
a
$-7x-56$
Question ID: 20060030080
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i) $-8(x+9)$
a
$-8x-72$
Question ID: 20060030090
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j) $-10(x+2)$
a
$-10x-20$
Question ID: 20060030100
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k) $-12(x+1)$
a
$-12x-12$
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l) $-14(x+14)$
a
$-14x-196$
Question ID: 20060030120
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Question 4
Expand the brackets
a) $-2(x-4)$
a
$-2x+8$
Question ID: 20060040010
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b) $-3(x-4)$
a
$-3x+12$
Question ID: 20060040020
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c) $-6(x-2)$
a
$-6x+12$
Question ID: 20060040030
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d) $-8(x-3)$
a
$-8x+24$
Question ID: 20060040040
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e) $-9(x-5)$
a
$-9x+45$
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f) $-2(x-10)$
a
$-2x+20$
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g) $-6(x-5)$
a
$-6x+30$
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h) $-9(x-3)$
a
$-9x+27$
Question ID: 20060040080
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i) $-10(x-1)$
a
$-10x+10$
Question ID: 20060040090
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j) $-11(x-5)$
a
$-11x+55$
Question ID: 20060040100
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k) $-15(x-2)$
a
$-15x+30$
Question ID: 20060040110
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l) $-18(x-5)$
a
$-18x+90$
Question ID: 20060040120
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Question 5
Expand the brackets
a) $9(5+x)$
a
$45+9x$
Question ID: 20060050010
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b) $4(2+x)$
a
$8+4x$
Question ID: 20060050020
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c) $5(1-x)$
a
$5-5x$
Question ID: 20060050030
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d) $7(5-x)$
a
$35-7x$
Question ID: 20060050040
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e) $10(7-x)$
a
$70-10x$
Question ID: 20060050050
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f) $-2(2+x)$
a
$-4-2x$
Question ID: 20060050060
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g) $-3(5+x)$
a
$-15-3x$
Question ID: 20060050070
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h) $-(2+x)$
a
$-2-x$
Question ID: 20060050080
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i) $-(1-x)$
a
$-1+x$
Question ID: 20060050090
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j) $-15(5-x)$
a
$-75+15x$
Question ID: 20060050100
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k) $-2(4+x)$
a
$-8-2x$
Question ID: 20060050110
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l) $-5(x-2)$
a
$-5x+10$
Question ID: 20060050120
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Question 6
Expand the brackets
a) $x(x+2)$
a
$x^2+2x$
Question ID: 20060060010
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b) $x(x+1)$
a
$x^2+x$
Question ID: 20060060020
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c) $x(x+8)$
a
$x^2+8x$
Question ID: 20060060030
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d) $x(x+11)$
a
$x^2+11x$
Question ID: 20060060040
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e) $x(x-2)$
a
$x^2-2x$
Question ID: 20060060050
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f) $x(x-5)$
a
$x^2-5x$
Question ID: 20060060060
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g) $x(x-10)$
a
$x^2-10x$
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h) $x(5+x)$
a
$5x+x^2$
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i) $x(9+x)$
a
$9x+x^2$
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j) $x(4+x)$
a
$4x+x^2$
Question ID: 20060060100
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k) $x(3-x)$
a
$3x-x^2$
Question ID: 20060060110
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l) $x(10-x)$
a
$10x-x^2$
Question ID: 20060060120
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Question 7
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a) $3(4x+3)$
a
$12x+9$
Question ID: 20060070010
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b) $2(3x+4)$
a
$6x+8$
Question ID: 20060070020
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c) $4(5x+2)$
a
$20x+8$
Question ID: 20060070030
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d) $6(5x+3)$
a
$30x+18$
Question ID: 20060070040
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e) $5(2x-3)$
a
$10x-15$
Question ID: 20060070050
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f) $7(3x-9)$
a
$21x-63$
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g) $2(4+3x)$
a
$8+6x$
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h) $5(6+2x)$
a
$30+10x$
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i) $3(8+10x)$
a
$24+30x$
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j) $5(10-2x)$
a
$50-10x$
Question ID: 20060070100
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k) $3(2-3x)$
a
$6-9x$
Question ID: 20060070110
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l) $10(4-7x)$
a
$40-70x$
Question ID: 20060070120
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Question 8
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a) $x(4x+3)$
a
$4x^2+3x$
Question ID: 20060080010
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b) $x(5x+2)$
a
$5x^2+2x$
Question ID: 20060080020
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c) $x(6x+3)$
a
$6x^2+3x$
Question ID: 20060080030
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d) $x(x-4)$
a
$x^2-4x$
Question ID: 20060080040
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e) $x(6x-8)$
a
$6x^2-8x$
Question ID: 20060080050
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f) $x(9x-12)$
a
$9x^2-12x$
Question ID: 20060080060
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g) $x(5+2x)$
a
$5x+2x^2$
Question ID: 20060080070
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h) $x(7+14x)$
a
$7x+14x^2$
Question ID: 20060080080
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i) $x(3+9x)$
a
$3x+9x^2$
Question ID: 20060080090
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j) $x(2-3x)$
a
$2x-3x^2$
Question ID: 20060080100
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k) $x(5-9x)$
a
$5x-9x^2$
Question ID: 20060080110
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l) $x(10-11x)$
a
$10x-11x^2$
Question ID: 20060080120
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Question 9
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a) $3x(2x+1)$
a
$6x^2+3x$
Question ID: 20060090010
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b) $3x(5x+6)$
a
$15x^2+18x$
Question ID: 20060090020
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c) $-2x(4x+9)$
a
$-8x^2-18x$
Question ID: 20060090030
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d) $3x(2x-5)$
a
$6x^2-15x$
Question ID: 20060090040
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e) $4x(x-9)$
a
$4x^2-36x$
Question ID: 20060090050
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f) $-6x(2x-10)$
a
$-12x^2+60x$
Question ID: 20060090060
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g) $4x(3+4x)$
a
$12x+16x^2$
Question ID: 20060090070
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h) $2x(8+9x)$
a
$16x+18x^2$
Question ID: 20060090080
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i) $-10x(4+2x)$
a
$-40x-20x^2$
Question ID: 20060090090
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j) $7x(2-3x)$
a
$14x-21x^2$
Question ID: 20060090100
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k) $9x(4-2x)$
a
$36x-18x^2$
Question ID: 20060090110
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l) $-13x(2-4x)$
a
$-26x+52x^2$
Question ID: 20060090120
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Question 10
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a) $2(x^2+4)$
a
$2x^2+8$
Question ID: 20060100010
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b) $3(x^2-6)$
a
$3x^2-18$
Question ID: 20060100020
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c) $4(2x^2+1)$
a
$8x^2+4$
Question ID: 20060100030
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d) $5(4x^3+2)$
a
$20x^3+10$
Question ID: 20060100040
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e) $2(3x^5+2)$
a
$6x^5+4$
Question ID: 20060100050
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f) $5(x^{10}-1)$
a
$5x^{10}-5$
Question ID: 20060100060
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g) $10(5+x^2)$
a
$50+10x^2$
Question ID: 20060100070
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h) $15(2+2x^4)$
a
$30+30x^4$
Question ID: 20060100080
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i) $3(1-x^5)$
a
$3-3x^5$
Question ID: 20060100090
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j) $6(8-2x^2)$
a
$48-12x^2$
Question ID: 20060100100
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Question ID: 20060100100
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k) $5(3-6x^9)$
a
$15-30x^45$
Question ID: 20060100110
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l) $14(6-9x^{20})$
a
$84-126x^{20}$
Question ID: 20060100120
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Question 11
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a) $-2(x^3+8)$
a
$-2x^3-16$
Question ID: 20060110010
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b) $-5(2x^3+3)$
a
$-10x^3-15$
Question ID: 20060110020
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c) $-6(6x^2+1)$
a
$-36x^2-6$
Question ID: 20060110030
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d) $-10(x^2-5)$
a
$-10x^2+50$
Question ID: 20060110040
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e) $-10(9x^7-2)$
a
$-90x^7+20$
Question ID: 20060110050
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f) $-11(2x^3-10)$
a
$-22x^3+220$
Question ID: 20060110060
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g) $-2(10+2x^2)$
a
$-20-4x^2$
Question ID: 20060110070
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h) $-3(50+4x^3)$
a
$-150-12x^3$
Question ID: 20060110080
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i) $-9(3+2x^8)$
a
$-27-18x^8$
Question ID: 20060110090
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j) $-2(1-3x^2)$
a
$-2+6x^2$
Question ID: 20060110100
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k) $-5(6-8x^9)$
a
$-30+40x^9$
Question ID: 20060110110
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l) $-11(14-20x^{11})$
a
$-156+220x^{11}$
Question ID: 20060110120
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Question 12
Expand the brackets
a) $2x(x+3)$
a
$2x^2+6x$
Question ID: 20060120010
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b) $3x(x^2+4)$
a
$6x^3+12x$
Question ID: 20060120020
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c) $2x^2(x^3+1)$
a
$2x^5+2x^2$
Question ID: 20060120030
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d) $5x^2(4x^6+2)$
a
$20x^8+10x^2$
Question ID: 20060120040
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e) $8x^3(2x^3-1)$
a
$16x^6-8x^3$
Question ID: 20060120050
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f) $4x^2(5x^5-4)$
a
$20x^7-16x^2$
Question ID: 20060120060
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g) $-x^3(3x^4+8)$
a
$-3x^7-8x^3$
Question ID: 20060120070
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h) $-3x^4(9+4x^2)$
a
$-27x^4-12x^6$
Question ID: 20060120080
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i) $-4x^3(2+3x^8)$
a
$-8x^3-12x^{11}$
Question ID: 20060120090
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j) $8x^2(3-4x^9)$
a
$24x^2-32x^{11}$
Question ID: 20060120100
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k) $-3x^7(4-5x^2)$
a
$-12x^7+15x^9$
Question ID: 20060120110
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l) $-7x^{10}(17-2x^8)$
a
$-119x^{10}+34x^{18}$
Question ID: 20060120120
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Question 13
Expand the brackets
a) $2(x^2+x+3)$
a
$2x^2+2x+6$
Question ID: 20060130010
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b) $3(2x^2+5x+6)$
a
$6x^2+15x+18$
Question ID: 20060130020
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c) $x(x^2+2x+1)$
a
$x^3+2x^2+x$
Question ID: 20060130030
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d) $2x(3x^2+6x-1)$
a
$6x^3+12x^2-2x$
Question ID: 20060130040
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e) $5x^2(4x^2-2x+2)$
a
$20x^4-10x^3+10x^2$
Question ID: 20060130050
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f) $-2x(5x^2-5x-16)$
a
$-10x^3+10x^2+32x$
Question ID: 20060130060
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g) $-2x^3(4-2x-x^2)$
a
$-8x^3+4x^4+2x^5$
Question ID: 20060130070
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h) $-5x^6(3x+2x^2-5x^3)$
a
$-15x^7-10x^8+25x^9$
Question ID: 20060130080
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i) $-5x^6(1-2x+5x^2-6x^3)$
a
$-5x^6+10x^7-25x^8+30x^9$
Question ID: 20060130090
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j) $-5x^3(5-6x-6x^2-x^3+3x^4)$
a
$-25x^3+30x^4+30x^5+5x^6-15x^7$
Question ID: 20060130100
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k) $5(3(2x+3))$
a
$30x+45$
Question ID: 20060130110
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l) $6x^2(3x(x-8))$
a
$18x^4-144x^3$
Question ID: 20060130120
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Question 14
Expand the brackets and simplify
a) $2+2(x+4)$
a
$8+2x$
Question ID: 20060140010
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b) $3+5(x+5)$
a
$28+5x$
Question ID: 20060140020
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c) $10+4(x-1)$
a
$6+4x$
Question ID: 20060140030
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d) $20+5(x-2)$
a
$10+5x$
Question ID: 20060140040
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e) $13-2(x+1)$
a
$11-2x$
Question ID: 20060140050
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f) $10-5(x+2)$
a
$-5x$
Question ID: 20060140060
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g) $8-2(x-3)$
a
$14-2x$
Question ID: 20060140070
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h) $6x+x(x+4)$
a
$10x+x^2$
Question ID: 20060140080
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i) $9x+x(x-2)$
a
$7x+x^2$
Question ID: 20060140090
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j) $20x+x(3x-4)$
a
$16x+3x^2$
Question ID: 20060140100
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k) $6x+2x(x+2)$
a
$10x+2x^2$
Question ID: 20060140110
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l) $10x+3x(x-3)$
a
$x+3x^2$
Question ID: 20060140120
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m) $18+3(5+x)$
a
$33+3x$
Question ID: 20060140130
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n) $2+4(3+2x)$
a
$14+8x$
Question ID: 20060140140
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o) $10-2(3+2x)$
a
$4-4x$
Question ID: 20060140150
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p) $60-5(2-4x)$
a
$50+20x$
Question ID: 20060140160
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q) $x+x(2+x)$
a
$3x+x^2$
Question ID: 20060140170
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r) $x^2+3x(1+x)$
a
$4x^2+3x$
Question ID: 20060140180
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s) $2x^2+3x(2+2x)$
a
$8x^2+6x$
Question ID: 20060140190
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t) $10x^2-3x(5+x)$
a
$7x^2-15x$
Question ID: 20060140200
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u) $2x^2-3x(4-2x)$
a
$8x^2-12x$
Question ID: 20060140210
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v) $20+2x-3(5-x)$
a
$5+5x$
Question ID: 20060140220
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w) $5x+2x^2+4x(2+x)$
a
$13x+6x^2$
Question ID: 20060140230
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x) $16x-5x^2-5x(3-2x)$
a
$x+5x^2$
Question ID: 20060140240
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Question 15
Expand the brackets and simplify
a) $2(x+2)+3(x+4)$
a
$5x+16$
Question ID: 20060150010
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b) $3(x+4)+5(x+4)$
a
$8x+32$
Question ID: 20060150020
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c) $5(x+2)+3(x+6)$
a
$8x+28$
Question ID: 20060150030
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d) $3(x+10)+4(x-7)$
a
$7x+2$
Question ID: 20060150040
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e) $7(x-3)+5(x+5)$
a
$12x+4$
Question ID: 20060150050
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f) $5(x+2)-2(x+1)$
a
$3x+8$
Question ID: 20060150060
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g) $10(x+4)-3(x+4)$
a
$7x+28$
Question ID: 20060150070
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h) $3(x+4)-(x+5)$
a
$2x+7$
Question ID: 20060150080
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i) $3(5+x)-(x-2)$
a
$17+2x$
Question ID: 20060150090
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j) $5(6-2x)+5(3x-2)$
a
$5x+20$
Question ID: 20060150100
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k) $x(x+2)+x(x+5)$
a
$2x^2+7x$
Question ID: 20060150110
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l) $2x(x+4)+x(x+7)$
a
$3x^2+15x$
Question ID: 20060150120
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m) $2x(x-4)+x(x-2)$
a
$3x^2-10x$
Question ID: 20060150130
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n) $3x(4-x)+2x(3+x)$
a
$18x-x^2$
Question ID: 20060150140
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o) $5x(5-x)-4x(x+4)$
a
$9x-9x^2$
Question ID: 20060150150
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p) $x^2(x+2)+2x^2(x+3)$
a
$3x^3+8x^2$
Question ID: 20060150160
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q) $3(x-4)-2x(x+4)$
a
$-2x^2-5x-12$
Question ID: 20060150170
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r) $6x^2(x-3)+2x(x-8)$
a
$6x^3-16x^2-16x$
Question ID: 20060150180
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s) $5x^3(2x+3)-3x^2(4-x)$
a
$10x^4+18x^3-12x^2$
Question ID: 20060150190
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Question ID: 20060150190
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t) $6(x-3)+5(x-8)-(x+6)$
a
$10x-64$
Question ID: 20060150200
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u) $6x(4x+2)-2(4+x)-2x(x+3)$
a
$22x^2+4x-8$
Question ID: 20060150210
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v) $12x^2+4(x+x^2)-2(9-x)$
a
$16x^2+6x-18$
Question ID: 20060150220
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w) $5x^2-2x(4x^2-2)+(5-2x^2)$
a
$5+4x+3x^2-8x^3$
Question ID: 20060150230
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x) $3x(4-x^2)-51(2x-4)-4x^2+18x(1-x^3)$
a
$204-72x-4x^2-3x^3-18x^4$
Question ID: 20060150240
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Question 1
Expand the brackets
a) $2(x+3)$
b) $3(x+4)$
c) $5(x+6)$
d) $3(x+9)$
e) $12(x+2)$
f) $7(x+1)$
g) $11(x+2)$
h) $4(x+15)$
i) $9(x+2)$
j) $3(x+11)$
k) $7(x+12)$
Question 2
Expand the brackets
a) $4(x-2)$
b) $5(x-4)$
c) $2(x-8)$
d) $4(x-12)$
e) $5(x-5)$
f) $15(x-3)$
g) $3(x-13)$
h) $8(x-2)$
i) $14(x-1)$
j) $15(x-5)$
k) $17(x-3)$
l) $19(x-4)$
m) $14(x-5)$
Question 3
Expand the brackets
a) $-2(x+3)$
b) $-5(x+3)$
c) $-6(x+4)$
d) $-3(x+3)$
e) $-9(x+2)$
f) $-2(x+1)$
g) $-6(x+3)$
h) $-7(x+8)$
i) $-8(x+9)$
j) $-10(x+2)$
k) $-12(x+1)$
l) $-14(x+14)$
Question 4
Expand the brackets
a) $-2(x-4)$
b) $-3(x-4)$
c) $-6(x-2)$
d) $-8(x-3)$
e) $-9(x-5)$
f) $-2(x-10)$
g) $-6(x-5)$
h) $-9(x-3)$
i) $-10(x-1)$
j) $-11(x-5)$
k) $-15(x-2)$
l) $-18(x-5)$
Question 5
Expand the brackets
a) $9(5+x)$
b) $4(2+x)$
c) $5(1-x)$
d) $7(5-x)$
e) $10(7-x)$
f) $-2(2+x)$
g) $-3(5+x)$
h) $-(2+x)$
i) $-(1-x)$
j) $-15(5-x)$
k) $-2(4+x)$
l) $-5(x-2)$
Question 6
Expand the brackets
a) $x(x+2)$
b) $x(x+1)$
c) $x(x+8)$
d) $x(x+11)$
e) $x(x-2)$
f) $x(x-5)$
g) $x(x-10)$
h) $x(5+x)$
i) $x(9+x)$
j) $x(4+x)$
k) $x(3-x)$
l) $x(10-x)$
Question 7
Expand the brackets
a) $3(4x+3)$
b) $2(3x+4)$
c) $4(5x+2)$
d) $6(5x+3)$
e) $5(2x-3)$
f) $7(3x-9)$
g) $2(4+3x)$
h) $5(6+2x)$
i) $3(8+10x)$
j) $5(10-2x)$
k) $3(2-3x)$
l) $10(4-7x)$
Question 8
Expand the brackets
a) $x(4x+3)$
b) $x(5x+2)$
c) $x(6x+3)$
d) $x(x-4)$
e) $x(6x-8)$
f) $x(9x-12)$
g) $x(5+2x)$
h) $x(7+14x)$
i) $x(3+9x)$
j) $x(2-3x)$
k) $x(5-9x)$
l) $x(10-11x)$
Question 9
Expand the brackets
a) $3x(2x+1)$
b) $3x(5x+6)$
c) $-2x(4x+9)$
d) $3x(2x-5)$
e) $4x(x-9)$
f) $-6x(2x-10)$
g) $4x(3+4x)$
h) $2x(8+9x)$
i) $-10x(4+2x)$
j) $7x(2-3x)$
k) $9x(4-2x)$
l) $-13x(2-4x)$
Question 10
Expand the brackets
a) $2(x^2+4)$
b) $3(x^2-6)$
c) $4(2x^2+1)$
d) $5(4x^3+2)$
e) $2(3x^5+2)$
f) $5(x^{10}-1)$
g) $10(5+x^2)$
h) $15(2+2x^4)$
i) $3(1-x^5)$
j) $6(8-2x^2)$
k) $5(3-6x^9)$
l) $14(6-9x^{20})$
Question 11
Expand the brackets
a) $-2(x^3+8)$
b) $-5(2x^3+3)$
c) $-6(6x^2+1)$
d) $-10(x^2-5)$
e) $-10(9x^7-2)$
f) $-11(2x^3-10)$
g) $-2(10+2x^2)$
h) $-3(50+4x^3)$
i) $-9(3+2x^8)$
j) $-2(1-3x^2)$
k) $-5(6-8x^9)$
l) $-11(14-20x^{11})$
Question 12
Expand the brackets
a) $2x(x+3)$
b) $3x(x^2+4)$
c) $2x^2(x^3+1)$
d) $5x^2(4x^6+2)$
e) $8x^3(2x^3-1)$
f) $4x^2(5x^5-4)$
g) $-x^3(3x^4+8)$
h) $-3x^4(9+4x^2)$
i) $-4x^3(2+3x^8)$
j) $8x^2(3-4x^9)$
k) $-3x^7(4-5x^2)$
l) $-7x^{10}(17-2x^8)$
Question 13
Expand the brackets
a) $2(x^2+x+3)$
b) $3(2x^2+5x+6)$
c) $x(x^2+2x+1)$
d) $2x(3x^2+6x-1)$
e) $5x^2(4x^2-2x+2)$
f) $-2x(5x^2-5x-16)$
g) $-2x^3(4-2x-x^2)$
h) $-5x^6(3x+2x^2-5x^3)$
i) $-5x^6(1-2x+5x^2-6x^3)$
j) $-5x^3(5-6x-6x^2-x^3+3x^4)$
k) $5(3(2x+3))$
l) $6x^2(3x(x-8))$
Question 14
Expand the brackets and simplify
a) $2+2(x+4)$
b) $3+5(x+5)$
c) $10+4(x-1)$
d) $20+5(x-2)$
e) $13-2(x+1)$
f) $10-5(x+2)$
g) $8-2(x-3)$
h) $6x+x(x+4)$
i) $9x+x(x-2)$
j) $20x+x(3x-4)$
k) $6x+2x(x+2)$
l) $10x+3x(x-3)$
m) $18+3(5+x)$
n) $2+4(3+2x)$
o) $10-2(3+2x)$
p) $60-5(2-4x)$
q) $x+x(2+x)$
r) $x^2+3x(1+x)$
s) $2x^2+3x(2+2x)$
t) $10x^2-3x(5+x)$
u) $2x^2-3x(4-2x)$
v) $20+2x-3(5-x)$
w) $5x+2x^2+4x(2+x)$
x) $16x-5x^2-5x(3-2x)$
Question 15
Expand the brackets and simplify
a) $2(x+2)+3(x+4)$
b) $3(x+4)+5(x+4)$
c) $5(x+2)+3(x+6)$
d) $3(x+10)+4(x-7)$
e) $7(x-3)+5(x+5)$
f) $5(x+2)-2(x+1)$
g) $10(x+4)-3(x+4)$
h) $3(x+4)-(x+5)$
i) $3(5+x)-(x-2)$
j) $5(6-2x)+5(3x-2)$
k) $x(x+2)+x(x+5)$
l) $2x(x+4)+x(x+7)$
m) $2x(x-4)+x(x-2)$
n) $3x(4-x)+2x(3+x)$
o) $5x(5-x)-4x(x+4)$
p) $x^2(x+2)+2x^2(x+3)$
q) $3(x-4)-2x(x+4)$
r) $6x^2(x-3)+2x(x-8)$
s) $5x^3(2x+3)-3x^2(4-x)$
t) $6(x-3)+5(x-8)-(x+6)$
u) $6x(4x+2)-2(4+x)-2x(x+3)$
v) $12x^2+4(x+x^2)-2(9-x)$
w) $5x^2-2x(4x^2-2)+(5-2x^2)$
x) $3x(4-x^2)-51(2x-4)-4x^2+18x(1-x^3)$
Answers
Question 1
a) $2x+6$
b) $3x+12$
c) $5x+30$
d) $3x+27$
e) $12x+24$
f) $7x+7$
g) $11x+22$
h) $4x+60$
i) $9x+18$
j) $3x+33$
k) $7x+84$
Question 2
a) $4x-8$
b) $5x-20$
c) $2x-16$
d) $4x-48$
e) $5x-25$
f) $15x-45$
g) $3x-39$
h) $8x-16$
i) $14x-14$
j) $15x-75$
k) $17x-51$
l) $19x-76$
m) $14x-70$
Question 3
a) $-2x-6$
b) $-5x-15$
c) $-6x-24$
d) $-3x-9$
e) $-9x-18$
f) $-2x-2$
g) $-6x-18$
h) $-7x-56$
i) $-8x-72$
j) $-10x-20$
k) $-12x-12$
l) $-14x-196$
Question 4
a) $-2x+8$
b) $-3x+12$
c) $-6x+12$
d) $-8x+24$
e) $-9x+45$
f) $-2x+20$
g) $-6x+30$
h) $-9x+27$
i) $-10x+10$
j) $-11x+55$
k) $-15x+30$
l) $-18x+90$
Question 5
a) $45+9x$
b) $8+4x$
c) $5-5x$
d) $35-7x$
e) $70-10x$
f) $-4-2x$
g) $-15-3x$
h) $-2-x$
i) $-1+x$
j) $-75+15x$
k) $-8-2x$
l) $-5x+10$
Question 6
a) $x^2+2x$
b) $x^2+x$
c) $x^2+8x$
d) $x^2+11x$
e) $x^2-2x$
f) $x^2-5x$
g) $x^2-10x$
h) $5x+x^2$
i) $9x+x^2$
j) $4x+x^2$
k) $3x-x^2$
l) $10x-x^2$
Question 7
a) $12x+9$
b) $6x+8$
c) $20x+8$
d) $30x+18$
e) $10x-15$
f) $21x-63$
g) $8+6x$
h) $30+10x$
i) $24+30x$
j) $50-10x$
k) $6-9x$
l) $40-70x$
Question 8
a) $4x^2+3x$
b) $5x^2+2x$
c) $6x^2+3x$
d) $x^2-4x$
e) $6x^2-8x$
f) $9x^2-12x$
g) $5x+2x^2$
h) $7x+14x^2$
i) $3x+9x^2$
j) $2x-3x^2$
k) $5x-9x^2$
l) $10x-11x^2$
Question 9
a) $6x^2+3x$
b) $15x^2+18x$
c) $-8x^2-18x$
d) $6x^2-15x$
e) $4x^2-36x$
f) $-12x^2+60x$
g) $12x+16x^2$
h) $16x+18x^2$
i) $-40x-20x^2$
j) $14x-21x^2$
k) $36x-18x^2$
l) $-26x+52x^2$
Question 10
a) $2x^2+8$
b) $3x^2-18$
c) $8x^2+4$
d) $20x^3+10$
e) $6x^5+4$
f) $5x^{10}-5$
g) $50+10x^2$
h) $30+30x^4$
i) $3-3x^5$
j) $48-12x^2$
k) $15-30x^45$
l) $84-126x^{20}$
Question 11
a) $-2x^3-16$
b) $-10x^3-15$
c) $-36x^2-6$
d) $-10x^2+50$
e) $-90x^7+20$
f) $-22x^3+220$
g) $-20-4x^2$
h) $-150-12x^3$
i) $-27-18x^8$
j) $-2+6x^2$
k) $-30+40x^9$
l) $-156+220x^{11}$
Question 12
a) $2x^2+6x$
b) $6x^3+12x$
c) $2x^5+2x^2$
d) $20x^8+10x^2$
e) $16x^6-8x^3$
f) $20x^7-16x^2$
g) $-3x^7-8x^3$
h) $-27x^4-12x^6$
i) $-8x^3-12x^{11}$
j) $24x^2-32x^{11}$
k) $-12x^7+15x^9$
l) $-119x^{10}+34x^{18}$
Question 13
a) $2x^2+2x+6$
b) $6x^2+15x+18$
c) $x^3+2x^2+x$
d) $6x^3+12x^2-2x$
e) $20x^4-10x^3+10x^2$
f) $-10x^3+10x^2+32x$
g) $-8x^3+4x^4+2x^5$
h) $-15x^7-10x^8+25x^9$
i) $-5x^6+10x^7-25x^8+30x^9$
j) $-25x^3+30x^4+30x^5+5x^6-15x^7$
k) $30x+45$
l) $18x^4-144x^3$
Question 14
a) $8+2x$
b) $28+5x$
c) $6+4x$
d) $10+5x$
e) $11-2x$
f) $-5x$
g) $14-2x$
h) $10x+x^2$
i) $7x+x^2$
j) $16x+3x^2$
k) $10x+2x^2$
l) $x+3x^2$
m) $33+3x$
n) $14+8x$
o) $4-4x$
p) $50+20x$
q) $3x+x^2$
r) $4x^2+3x$
s) $8x^2+6x$
t) $7x^2-15x$
u) $8x^2-12x$
v) $5+5x$
w) $13x+6x^2$
x) $x+5x^2$
Question 15
a) $5x+16$
b) $8x+32$
c) $8x+28$
d) $7x+2$
e) $12x+4$
f) $3x+8$
g) $7x+28$
h) $2x+7$
i) $17+2x$
j) $5x+20$
k) $2x^2+7x$
l) $3x^2+15x$
m) $3x^2-10x$
n) $18x-x^2$
o) $9x-9x^2$
p) $3x^3+8x^2$
q) $-2x^2-5x-12$
r) $6x^3-16x^2-16x$
s) $10x^4+18x^3-12x^2$
t) $10x-64$
u) $22x^2+4x-8$
v) $16x^2+6x-18$
w) $5+4x+3x^2-8x^3$
x) $204-72x-4x^2-3x^3-18x^4$
Question 1
Expand the brackets
a) $2(x+3)$
b) $3(x+4)$
c) $5(x+6)$
d) $3(x+9)$
e) $12(x+2)$
f) $7(x+1)$
g) $11(x+2)$
h) $4(x+15)$
i) $9(x+2)$
j) $3(x+11)$
k) $7(x+12)$
Question 2
Expand the brackets
a) $4(x-2)$
b) $5(x-4)$
c) $2(x-8)$
d) $4(x-12)$
e) $5(x-5)$
f) $15(x-3)$
g) $3(x-13)$
h) $8(x-2)$
i) $14(x-1)$
j) $15(x-5)$
k) $17(x-3)$
l) $19(x-4)$
m) $14(x-5)$
Question 3
Expand the brackets
a) $-2(x+3)$
b) $-5(x+3)$
c) $-6(x+4)$
d) $-3(x+3)$
e) $-9(x+2)$
f) $-2(x+1)$
g) $-6(x+3)$
h) $-7(x+8)$
i) $-8(x+9)$
j) $-10(x+2)$
k) $-12(x+1)$
l) $-14(x+14)$
Question 4
Expand the brackets
a) $-2(x-4)$
b) $-3(x-4)$
c) $-6(x-2)$
d) $-8(x-3)$
e) $-9(x-5)$
f) $-2(x-10)$
g) $-6(x-5)$
h) $-9(x-3)$
i) $-10(x-1)$
j) $-11(x-5)$
k) $-15(x-2)$
l) $-18(x-5)$
Question 5
Expand the brackets
a) $9(5+x)$
b) $4(2+x)$
c) $5(1-x)$
d) $7(5-x)$
e) $10(7-x)$
f) $-2(2+x)$
g) $-3(5+x)$
h) $-(2+x)$
i) $-(1-x)$
j) $-15(5-x)$
k) $-2(4+x)$
l) $-5(x-2)$
Question 6
Expand the brackets
a) $x(x+2)$
b) $x(x+1)$
c) $x(x+8)$
d) $x(x+11)$
e) $x(x-2)$
f) $x(x-5)$
g) $x(x-10)$
h) $x(5+x)$
i) $x(9+x)$
j) $x(4+x)$
k) $x(3-x)$
l) $x(10-x)$
Question 7
Expand the brackets
a) $3(4x+3)$
b) $2(3x+4)$
c) $4(5x+2)$
d) $6(5x+3)$
e) $5(2x-3)$
f) $7(3x-9)$
g) $2(4+3x)$
h) $5(6+2x)$
i) $3(8+10x)$
j) $5(10-2x)$
k) $3(2-3x)$
l) $10(4-7x)$
Question 8
Expand the brackets
a) $x(4x+3)$
b) $x(5x+2)$
c) $x(6x+3)$
d) $x(x-4)$
e) $x(6x-8)$
f) $x(9x-12)$
g) $x(5+2x)$
h) $x(7+14x)$
i) $x(3+9x)$
j) $x(2-3x)$
k) $x(5-9x)$
l) $x(10-11x)$
Question 9
Expand the brackets
a) $3x(2x+1)$
b) $3x(5x+6)$
c) $-2x(4x+9)$
d) $3x(2x-5)$
e) $4x(x-9)$
f) $-6x(2x-10)$
g) $4x(3+4x)$
h) $2x(8+9x)$
i) $-10x(4+2x)$
j) $7x(2-3x)$
k) $9x(4-2x)$
l) $-13x(2-4x)$
Question 10
Expand the brackets
a) $2(x^2+4)$
b) $3(x^2-6)$
c) $4(2x^2+1)$
d) $5(4x^3+2)$
e) $2(3x^5+2)$
f) $5(x^{10}-1)$
g) $10(5+x^2)$
h) $15(2+2x^4)$
i) $3(1-x^5)$
j) $6(8-2x^2)$
k) $5(3-6x^9)$
l) $14(6-9x^{20})$
Question 11
Expand the brackets
a) $-2(x^3+8)$
b) $-5(2x^3+3)$
c) $-6(6x^2+1)$
d) $-10(x^2-5)$
e) $-10(9x^7-2)$
f) $-11(2x^3-10)$
g) $-2(10+2x^2)$
h) $-3(50+4x^3)$
i) $-9(3+2x^8)$
j) $-2(1-3x^2)$
k) $-5(6-8x^9)$
l) $-11(14-20x^{11})$
Question 12
Expand the brackets
a) $2x(x+3)$
b) $3x(x^2+4)$
c) $2x^2(x^3+1)$
d) $5x^2(4x^6+2)$
e) $8x^3(2x^3-1)$
f) $4x^2(5x^5-4)$
g) $-x^3(3x^4+8)$
h) $-3x^4(9+4x^2)$
i) $-4x^3(2+3x^8)$
j) $8x^2(3-4x^9)$
k) $-3x^7(4-5x^2)$
l) $-7x^{10}(17-2x^8)$
Question 13
Expand the brackets
a) $2(x^2+x+3)$
b) $3(2x^2+5x+6)$
c) $x(x^2+2x+1)$
d) $2x(3x^2+6x-1)$
e) $5x^2(4x^2-2x+2)$
f) $-2x(5x^2-5x-16)$
g) $-2x^3(4-2x-x^2)$
h) $-5x^6(3x+2x^2-5x^3)$
i) $-5x^6(1-2x+5x^2-6x^3)$
j) $-5x^3(5-6x-6x^2-x^3+3x^4)$
k) $5(3(2x+3))$
l) $6x^2(3x(x-8))$
Question 14
Expand the brackets and simplify
a) $2+2(x+4)$
b) $3+5(x+5)$
c) $10+4(x-1)$
d) $20+5(x-2)$
e) $13-2(x+1)$
f) $10-5(x+2)$
g) $8-2(x-3)$
h) $6x+x(x+4)$
i) $9x+x(x-2)$
j) $20x+x(3x-4)$
k) $6x+2x(x+2)$
l) $10x+3x(x-3)$
m) $18+3(5+x)$
n) $2+4(3+2x)$
o) $10-2(3+2x)$
p) $60-5(2-4x)$
q) $x+x(2+x)$
r) $x^2+3x(1+x)$
s) $2x^2+3x(2+2x)$
t) $10x^2-3x(5+x)$
u) $2x^2-3x(4-2x)$
v) $20+2x-3(5-x)$
w) $5x+2x^2+4x(2+x)$
x) $16x-5x^2-5x(3-2x)$
Question 15
Expand the brackets and simplify
a) $2(x+2)+3(x+4)$
b) $3(x+4)+5(x+4)$
c) $5(x+2)+3(x+6)$
d) $3(x+10)+4(x-7)$
e) $7(x-3)+5(x+5)$
f) $5(x+2)-2(x+1)$
g) $10(x+4)-3(x+4)$
h) $3(x+4)-(x+5)$
i) $3(5+x)-(x-2)$
j) $5(6-2x)+5(3x-2)$
k) $x(x+2)+x(x+5)$
l) $2x(x+4)+x(x+7)$
m) $2x(x-4)+x(x-2)$
n) $3x(4-x)+2x(3+x)$
o) $5x(5-x)-4x(x+4)$
p) $x^2(x+2)+2x^2(x+3)$
q) $3(x-4)-2x(x+4)$
r) $6x^2(x-3)+2x(x-8)$
s) $5x^3(2x+3)-3x^2(4-x)$
t) $6(x-3)+5(x-8)-(x+6)$
u) $6x(4x+2)-2(4+x)-2x(x+3)$
v) $12x^2+4(x+x^2)-2(9-x)$
w) $5x^2-2x(4x^2-2)+(5-2x^2)$
x) $3x(4-x^2)-51(2x-4)-4x^2+18x(1-x^3)$
Answers
Question 1
a) $2x+6$
b) $3x+12$
c) $5x+30$
d) $3x+27$
e) $12x+24$
f) $7x+7$
g) $11x+22$
h) $4x+60$
i) $9x+18$
j) $3x+33$
k) $7x+84$
Question 2
a) $4x-8$
b) $5x-20$
c) $2x-16$
d) $4x-48$
e) $5x-25$
f) $15x-45$
g) $3x-39$
h) $8x-16$
i) $14x-14$
j) $15x-75$
k) $17x-51$
l) $19x-76$
m) $14x-70$
Question 3
a) $-2x-6$
b) $-5x-15$
c) $-6x-24$
d) $-3x-9$
e) $-9x-18$
f) $-2x-2$
g) $-6x-18$
h) $-7x-56$
i) $-8x-72$
j) $-10x-20$
k) $-12x-12$
l) $-14x-196$
Question 4
a) $-2x+8$
b) $-3x+12$
c) $-6x+12$
d) $-8x+24$
e) $-9x+45$
f) $-2x+20$
g) $-6x+30$
h) $-9x+27$
i) $-10x+10$
j) $-11x+55$
k) $-15x+30$
l) $-18x+90$
Question 5
a) $45+9x$
b) $8+4x$
c) $5-5x$
d) $35-7x$
e) $70-10x$
f) $-4-2x$
g) $-15-3x$
h) $-2-x$
i) $-1+x$
j) $-75+15x$
k) $-8-2x$
l) $-5x+10$
Question 6
a) $x^2+2x$
b) $x^2+x$
c) $x^2+8x$
d) $x^2+11x$
e) $x^2-2x$
f) $x^2-5x$
g) $x^2-10x$
h) $5x+x^2$
i) $9x+x^2$
j) $4x+x^2$
k) $3x-x^2$
l) $10x-x^2$
Question 7
a) $12x+9$
b) $6x+8$
c) $20x+8$
d) $30x+18$
e) $10x-15$
f) $21x-63$
g) $8+6x$
h) $30+10x$
i) $24+30x$
j) $50-10x$
k) $6-9x$
l) $40-70x$
Question 8
a) $4x^2+3x$
b) $5x^2+2x$
c) $6x^2+3x$
d) $x^2-4x$
e) $6x^2-8x$
f) $9x^2-12x$
g) $5x+2x^2$
h) $7x+14x^2$
i) $3x+9x^2$
j) $2x-3x^2$
k) $5x-9x^2$
l) $10x-11x^2$
Question 9
a) $6x^2+3x$
b) $15x^2+18x$
c) $-8x^2-18x$
d) $6x^2-15x$
e) $4x^2-36x$
f) $-12x^2+60x$
g) $12x+16x^2$
h) $16x+18x^2$
i) $-40x-20x^2$
j) $14x-21x^2$
k) $36x-18x^2$
l) $-26x+52x^2$
Question 10
a) $2x^2+8$
b) $3x^2-18$
c) $8x^2+4$
d) $20x^3+10$
e) $6x^5+4$
f) $5x^{10}-5$
g) $50+10x^2$
h) $30+30x^4$
i) $3-3x^5$
j) $48-12x^2$
k) $15-30x^45$
l) $84-126x^{20}$
Question 11
a) $-2x^3-16$
b) $-10x^3-15$
c) $-36x^2-6$
d) $-10x^2+50$
e) $-90x^7+20$
f) $-22x^3+220$
g) $-20-4x^2$
h) $-150-12x^3$
i) $-27-18x^8$
j) $-2+6x^2$
k) $-30+40x^9$
l) $-156+220x^{11}$
Question 12
a) $2x^2+6x$
b) $6x^3+12x$
c) $2x^5+2x^2$
d) $20x^8+10x^2$
e) $16x^6-8x^3$
f) $20x^7-16x^2$
g) $-3x^7-8x^3$
h) $-27x^4-12x^6$
i) $-8x^3-12x^{11}$
j) $24x^2-32x^{11}$
k) $-12x^7+15x^9$
l) $-119x^{10}+34x^{18}$
Question 13
a) $2x^2+2x+6$
b) $6x^2+15x+18$
c) $x^3+2x^2+x$
d) $6x^3+12x^2-2x$
e) $20x^4-10x^3+10x^2$
f) $-10x^3+10x^2+32x$
g) $-8x^3+4x^4+2x^5$
h) $-15x^7-10x^8+25x^9$
i) $-5x^6+10x^7-25x^8+30x^9$
j) $-25x^3+30x^4+30x^5+5x^6-15x^7$
k) $30x+45$
l) $18x^4-144x^3$
Question 14
a) $8+2x$
b) $28+5x$
c) $6+4x$
d) $10+5x$
e) $11-2x$
f) $-5x$
g) $14-2x$
h) $10x+x^2$
i) $7x+x^2$
j) $16x+3x^2$
k) $10x+2x^2$
l) $x+3x^2$
m) $33+3x$
n) $14+8x$
o) $4-4x$
p) $50+20x$
q) $3x+x^2$
r) $4x^2+3x$
s) $8x^2+6x$
t) $7x^2-15x$
u) $8x^2-12x$
v) $5+5x$
w) $13x+6x^2$
x) $x+5x^2$
Question 15
a) $5x+16$
b) $8x+32$
c) $8x+28$
d) $7x+2$
e) $12x+4$
f) $3x+8$
g) $7x+28$
h) $2x+7$
i) $17+2x$
j) $5x+20$
k) $2x^2+7x$
l) $3x^2+15x$
m) $3x^2-10x$
n) $18x-x^2$
o) $9x-9x^2$
p) $3x^3+8x^2$
q) $-2x^2-5x-12$
r) $6x^3-16x^2-16x$
s) $10x^4+18x^3-12x^2$
t) $10x-64$
u) $22x^2+4x-8$
v) $16x^2+6x-18$
w) $5+4x+3x^2-8x^3$
x) $204-72x-4x^2-3x^3-18x^4$
Solutions
Question 1
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Question 2
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Question 10
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Question 11
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Question 12
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Question 13
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Question 14
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Question 15
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