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Worksheets

Factorization and Expansion

Total questions: 10

Worksheet time: 30mins

Name
Class
Date
1.

Factorise fully 18x + 24

a)

3(6x + 8)

b)

2(9x + 12)

c)

6(3x + 4)

d)

6x(3x + 4)

2.

Expand and simplify 4(5a + c) + 3(2a – 3c)

a)

26a + 5c

b)

26a – 13c

c)

31ac

d)

26a – 5c

3.

Factorise fully 15a + 20ab

a)

3a(5 + 4b)

b)

5a(3 + 4ab)

c)

a(15 + 20b)

d)

5a(3 + 4b)

4.

Expand and simplify 3(2x – 5y) + 3(x – 2y)

a)

9x – 21y

b)

9x + 21y

c)

30xy

d)

9x – 7y

5.

Factorise x2 + 4x

a)

4x3

b)

x(x + 4)

c)

x(x + 4x)

d)

x2(x + 4)

6.

Expand and simplify 5(x – 2y) – (3xy)

a)

2x – 3y

b)

2x – 11y

c)

2x – 9y

d)

2xy

7.

Factorise completely 8x5 – 4x2

a)

x2(8x3 – 2)

b)

4(2x5x2)

c)

4x(2x4x)

d)

4x2(2x3 – 1)

8.

Expand and simplify x(2x + 3) +3x(x – 5)

a)

5x2 + 18x

b)

5x2 – 12x

c)

5x2 – 12

d)

5x2 – 18x

9.

Factorise completely 9xy2 + 12y

a)

3(xy2 + 4y)

b)

y(9xy + 12)

c)

3y(3xy + 4)

d)

21xy3

10.

Factorise completely x2y2 + x3y

a)

x2y(y + x)

b)

xy(xy + x2)

c)

x2(y2 + xy)

d)

y(x2 y + x3)