# Algebra - Expanding Single Brackets

## The website www.symbolab.com shows step-by-step solutions on its expanding brackets calculator

a - answer    s - solution    v - video    d - discussion

## Question 1

Expand the brackets

a) $2(x+3)$a s v d
b) $3(x+4)$a s v d
c) $5(x+6)$a s v d
d) $3(x+9)$a s v d
e) $12(x+2)$a s v d
f) $7(x+1)$a s v d
g) $11(x+2)$a s v d
h) $4(x+15)$a s v d
i) $9(x+2)$a s v d
j) $3(x+11)$a s v d
k) $7(x+12)$a s v d

## Question 2

Expand the brackets

a) $4(x-2)$a s v d
b) $5(x-4)$a s v d
c) $2(x-8)$a s v d
d) $4(x-12)$a s v d
e) $5(x-5)$a s v d
f) $15(x-3)$a s v d
g) $3(x-13)$a s v d
h) $8(x-2)$a s v d
i) $14(x-1)$a s v d
j) $15(x-5)$a s v d
k) $17(x-3)$a s v d
l) $19(x-4)$a s v d
m) $14(x-5)$a s v d

## Question 3

Expand the brackets

a) $-2(x+3)$a s v d
b) $-5(x+3)$a s v d
c) $-6(x+4)$a s v d
d) $-3(x+3)$a s v d
e) $-9(x+2)$a s v d
f) $-2(x+1)$a s v d
g) $-6(x+3)$a s v d
h) $-7(x+8)$a s v d
i) $-8(x+9)$a s v d
j) $-10(x+2)$a s v d
k) $-12(x+1)$a s v d
l) $-14(x+14)$a s v d

## Question 4

Expand the brackets

a) $-2(x-4)$a s v d
b) $-3(x-4)$a s v d
c) $-6(x-2)$a s v d
d) $-8(x-3)$a s v d
e) $-9(x-5)$a s v d
f) $-2(x-10)$a s v d
g) $-6(x-5)$a s v d
h) $-9(x-3)$a s v d
i) $-10(x-1)$a s v d
j) $-11(x-5)$a s v d
k) $-15(x-2)$a s v d
l) $-18(x-5)$a s v d

## Question 5

Expand the brackets

a) $9(5+x)$a s v d
b) $4(2+x)$a s v d
c) $5(1-x)$a s v d
d) $7(5-x)$a s v d
e) $10(7-x)$a s v d
f) $-2(2+x)$a s v d
g) $-3(5+x)$a s v d
h) $-(2+x)$a s v d
i) $-(1-x)$a s v d
j) $-15(5-x)$a s v d
k) $-2(4+x)$a s v d
l) $-5(x-2)$a s v d

## Question 6

Expand the brackets

a) $x(x+2)$a s v d
b) $x(x+1)$a s v d
c) $x(x+8)$a s v d
d) $x(x+11)$a s v d
e) $x(x-2)$a s v d
f) $x(x-5)$a s v d
g) $x(x-10)$a s v d
h) $x(5+x)$a s v d
i) $x(9+x)$a s v d
j) $x(4+x)$a s v d
k) $x(3-x)$a s v d
l) $x(10-x)$a s v d

## Question 7

Expand the brackets

a) $3(4x+3)$a s v d
b) $2(3x+4)$a s v d
c) $4(5x+2)$a s v d
d) $6(5x+3)$a s v d
e) $5(2x-3)$a s v d
f) $7(3x-9)$a s v d
g) $2(4+3x)$a s v d
h) $5(6+2x)$a s v d
i) $3(8+10x)$a s v d
j) $5(10-2x)$a s v d
k) $3(2-3x)$a s v d
l) $10(4-7x)$a s v d

## Question 8

Expand the brackets

a) $x(4x+3)$a s v d
b) $x(5x+2)$a s v d
c) $x(6x+3)$a s v d
d) $x(x-4)$a s v d
e) $x(6x-8)$a s v d
f) $x(9x-12)$a s v d
g) $x(5+2x)$a s v d
h) $x(7+14x)$a s v d
i) $x(3+9x)$a s v d
j) $x(2-3x)$a s v d
k) $x(5-9x)$a s v d
l) $x(10-11x)$a s v d

## Question 9

Expand the brackets

a) $3x(2x+1)$a s v d
b) $3x(5x+6)$a s v d
c) $-2x(4x+9)$a s v d
d) $3x(2x-5)$a s v d
e) $4x(x-9)$a s v d
f) $-6x(2x-10)$a s v d
g) $4x(3+4x)$a s v d
h) $2x(8+9x)$a s v d
i) $-10x(4+2x)$a s v d
j) $7x(2-3x)$a s v d
k) $9x(4-2x)$a s v d
l) $-13x(2-4x)$a s v d

## Question 10

Expand the brackets

a) $2(x^2+4)$a s v d
b) $3(x^2-6)$a s v d
c) $4(2x^2+1)$a s v d
d) $5(4x^3+2)$a s v d
e) $2(3x^5+2)$a s v d
f) $5(x^{10}-1)$a s v d
g) $10(5+x^2)$a s v d
h) $15(2+2x^4)$a s v d
i) $3(1-x^5)$a s v d
j) $6(8-2x^2)$a s v d
k) $5(3-6x^9)$a s v d
l) $14(6-9x^{20})$a s v d

## Question 11

Expand the brackets

a) $-2(x^3+8)$a s v d
b) $-5(2x^3+3)$a s v d
c) $-6(6x^2+1)$a s v d
d) $-10(x^2-5)$a s v d
e) $-10(9x^7-2)$a s v d
f) $-11(2x^3-10)$a s v d
g) $-2(10+2x^2)$a s v d
h) $-3(50+4x^3)$a s v d
i) $-9(3+2x^8)$a s v d
j) $-2(1-3x^2)$a s v d
k) $-5(6-8x^9)$a s v d
l) $-11(14-20x^{11})$a s v d

## Question 12

Expand the brackets

a) $2x(x+3)$a s v d
b) $3x(x^2+4)$a s v d
c) $2x^2(x^3+1)$a s v d
d) $5x^2(4x^6+2)$a s v d
e) $8x^3(2x^3-1)$a s v d
f) $4x^2(5x^5-4)$a s v d
g) $-x^3(3x^4+8)$a s v d
h) $-3x^4(9+4x^2)$a s v d
i) $-4x^3(2+3x^8)$a s v d
j) $8x^2(3-4x^9)$a s v d
k) $-3x^7(4-5x^2)$a s v d
l) $-7x^{10}(17-2x^8)$a s v d

## Question 13

Expand the brackets

a) $2(x^2+x+3)$a s v d
b) $3(2x^2+5x+6)$a s v d
c) $x(x^2+2x+1)$a s v d
d) $2x(3x^2+6x-1)$a s v d
e) $5x^2(4x^2-2x+2)$a s v d
f) $-2x(5x^2-5x-16)$a s v d
g) $-2x^3(4-2x-x^2)$a s v d
h) $-5x^6(3x+2x^2-5x^3)$a s v d
i) $-5x^6(1-2x+5x^2-6x^3)$a s v d
j) $-5x^3(5-6x-6x^2-x^3+3x^4)$a s v d
k) $5(3(2x+3))$a s v d
l) $6x^2(3x(x-8))$a s v d

## Question 14

Expand the brackets and simplify

a) $2+2(x+4)$a s v d
b) $3+5(x+5)$a s v d
c) $10+4(x-1)$a s v d
d) $20+5(x-2)$a s v d
e) $13-2(x+1)$a s v d
f) $10-5(x+2)$a s v d
g) $8-2(x-3)$a s v d
h) $6x+x(x+4)$a s v d
i) $9x+x(x-2)$a s v d
j) $20x+x(3x-4)$a s v d
k) $6x+2x(x+2)$a s v d
l) $10x+3x(x-3)$a s v d
m) $18+3(5+x)$a s v d
n) $2+4(3+2x)$a s v d
o) $10-2(3+2x)$a s v d
p) $60-5(2-4x)$a s v d
q) $x+x(2+x)$a s v d
r) $x^2+3x(1+x)$a s v d
s) $2x^2+3x(2+2x)$a s v d
t) $10x^2-3x(5+x)$a s v d
u) $2x^2-3x(4-2x)$a s v d
v) $20+2x-3(5-x)$a s v d
w) $5x+2x^2+4x(2+x)$a s v d
x) $16x-5x^2-5x(3-2x)$a s v d

## Question 15

Expand the brackets and simplify

a) $2(x+2)+3(x+4)$a s v d
b) $3(x+4)+5(x+4)$a s v d
c) $5(x+2)+3(x+6)$a s v d
d) $3(x+10)+4(x-7)$a s v d
e) $7(x-3)+5(x+5)$a s v d
f) $5(x+2)-2(x+1)$a s v d
g) $10(x+4)-3(x+4)$a s v d
h) $3(x+4)-(x+5)$a s v d
i) $3(5+x)-(x-2)$a s v d
j) $5(6-2x)+5(3x-2)$a s v d
k) $x(x+2)+x(x+5)$a s v d
l) $2x(x+4)+x(x+7)$a s v d
m) $2x(x-4)+x(x-2)$a s v d
n) $3x(4-x)+2x(3+x)$a s v d
o) $5x(5-x)-4x(x+4)$a s v d
p) $x^2(x+2)+2x^2(x+3)$a s v d
q) $3(x-4)-2x(x+4)$a s v d
r) $6x^2(x-3)+2x(x-8)$a s v d
s) $5x^3(2x+3)-3x^2(4-x)$a s v d
t) $6(x-3)+5(x-8)-(x+6)$a s v d
u) $6x(4x+2)-2(4+x)-2x(x+3)$a s v d
v) $12x^2+4(x+x^2)-2(9-x)$a s v d
w) $5x^2-2x(4x^2-2)+(5-2x^2)$a s v d
x) $3x(4-x^2)-51(2x-4)-4x^2+18x(1-x^3)$a s v d