Free Printable Expansion and Factorisation

1.

Which of the following expressions cannot be factored?

a)

x² – 4x + 4

b)

x² – y²

c)

x² + 4x + 4

d)

x² + y²

2.

Find the product of 15c and 4c².

a)

19c²

b)

19c³

c)

60c²

d)

60c³

3.

Which of the following expressions is equivalent to x² – 4y²?

a)

(x + 2)(x – 2)

b)

(x – 2y)²

c)

(x + 2y)(x – 2y)

d)

(x + 2y)²

4.

Factor: x² - 7x - 12

a)

(x + 4)(x + 3)

b)

(x + 4)(x – 3)

c)

3x² – 4x + 7

d)

Not factorable

5.

Factor: a² – 196

a)

(a + 13)(a – 13)

b)

(a – 13)²

c)

(a + 14)(a – 14)

d)

(a – 14)²

6.

Expand and simplify: (4x + 3)(5x + 6)

a)

20x² + 39x + 18

b)

20x² + 9x + 18

c)

20x² + 18

d)

20x² – 18

7.

Factorise completely:
25m² – 20mn + 4n²

a)

(5m - 2n)²

b)

(5m - 2)(5m + 2)

c)

(5m - 2)²

d)

(5m - 2n)(5m + 2n)

8.

Expand and simplify:
(5h + 4k)²

a)

25h² + 40hk + 16k²

b)

25h² + 40h + 16k²

c)

25h² + 40hk - 16k²

d)

25h² - 40hk + 16k²

9.

(3pr + 7)(3pr – 7)

a)

9p²r² - 49

b)

9p²r² + 49

c)

9p²r² - 42pr + 49

d)

9p²r² - 42pr - 49

10.

What is the area of a square if its side measures (2x - 7) cm?

a)

4x² - 28x + 49 cm²

b)

4x² - 28x + 49 cm

c)

4x² - 49 cm²

d)

4x² + 28x + 49 cm²

11.

What is the perimeter of a square if its side measures (2x - 7) cm?

a)

8x - 28 cm

b)

8x - 28 cm²

c)

4x - 14 cm

d)

4x - 14 cm²

12.

Expand 4(2x + 3)

a)

6x + 7

b)

8x + 3

c)

6x + 12

d)

8x + 12

13.

Expand - x(2 - 3x)

a)

- 2x -3x²

b)

- 2 + 3x²

c)

- 2x - 4x

d)

- 2x + 3x²

14.

Expand and simplify 2x - (3x - 2)

a)

x + 2

b)

-x - 2

c)

-x + 2

d)

x - 2

15.

Factorise 11x + 121xy

a)

x( 11 + 121y)

b)

11(x + 11xy)

c)

11x(0 + 11y)

d)

7x(1 + 11y)

16.

Factorise x² + 8x + 16

a)

(x + 4)(x - 4)

b)

x(x + 8) + 16

c)

(x + 4)²

d)

(x - 4)²

17.

Factorise x² - 36

a)

(x - 6)²

b)

(x + 6)(x - 6)

c)

x² - 6²

d)

(x + 6)²

18.

-4x + 12x²You may choose more than one answer.

a)

4x(-1 + 3x)

b)

4x(3x - 1)

c)

-4x(-3x + 1)

d)

-4x(1 - 3x)

19.

Berapakah bilangan sebutan algebra dalam ungkapan 4xy + x - 2

a)

1

b)

2

c)

3

d)

4

20.

Factor:
2n²-8n³

a)

2n²(n-4n²)

b)

2n²(1-4n²)

c)

2n³(10-8n²)

d)

3n(1-4n)

21.

Factorise $4b^5+4b^3+16b^2$

a)

$4b^2\left(b^4+b^2+4b\right)$

b)

$4b^3\left(b^2+b+4\right)$

c)

$4\left(b^5+b^3+4b^2\right)$

d)

$4b^2\left(b^3+b+4\right)$

22.

Expand and simplify $5x-2\left(x+y\right)$

a)

$3x-2y$

b)

$3x+2y$

c)

$8x-2y$

d)

$8x+2y$

23.

$\left(2x+4\right)\left(x-3\right)$ Expand and simplify

a)

$2x^2+10x-12$

b)

$2x^2-2x+12$

c)

$6x^2+2x-12$

d)

$2x^2-2x-12$

24.

$x^2-x-12=\left(x+p\right)\left(x+q\right)$ . What are the values of $p$ and $q?$

a)

3 , 4

b)

3 , -4

c)

2 , 6

d)

2 , -6

25.

Identify whether the given mathematical statement is correct or not
$\left(a+4\right)\left(a+2\right)=a^2+8$

a)

CORRECT

b)

NOT CORRECT

Expansion and Factorisation

Total questions: 25

Worksheet time: 35mins

Similar Resources on Wayground