Free Printable Factorising (Simple and Difference of Two Squares)

1.

Factor completely.

49x² + 16

a)

( 7x + 4 ) ( 7x - 4 )

b)

( 7x + 4 ) ( 7x + 4 )

c)

( 7x - 4 ) ²

d)

does not factor (SUM of squares)

2.

$100a^2-121b^2$

a)

(100a-121b)(100a+121b)

b)

(10a-11b)(10a+11b)

c)

(100a-11b)(100a+11b)

d)

(10a-121b)(10a+121b)

3.

$p^2-9q^2$

a)

(p-3q)(p+3q)

b)

(p+9q)(p-9q)

c)

(p+3q)(p+3q)

d)

(p-3q)(p-3q)

4.

Factor
81m² - 1

a)

not factorable

b)

(m-9)(m+9)

c)

9m(9m-1)

d)

(9m-1)(9m+1)

5.

Factor:
2n²-8n³

a)

2n²(n-4n²)

b)

2n²(1-4n)

c)

2n³(10-8n²)

d)

3n(1-4n)

6.

Factor

3x²- 75

a)

3( x + 5 ) ( x - 5 )

b)

Does not factor (prime)

c)

( x + 5 ) ( x - 5 )

d)

3( x - 5 ) ( x - 5 )

7.

4x²y² - 1

a)

(2 + xy) (2 - xy)

b)

(2x + y) (2x - y)

c)

(2xy + 1) (2xy - 1)

d)

(2y + x) (2y - x)

8.

Is ( a² + 4 ) an example of difference of two squares?

a)

Yes

b)

No

9.

If the area of your garden is ( d^{2 _} 16 ) and the length is

( d + 4) , what is the width?

a)

( d+ 2)

b)

( d - 2)

c)

( d + 4)

d)

(d - 4)

10.

x² - 9

a)

(x + 3)²

b)

(x + 3) (x - 3)

c)

(x - 3)²

d)

x + 3(x - 3)

11.

25x² - 36y²

a)

5x + 6y(5x - 6y)

b)

(5x + 6y) (5x - 6y)

c)

(5x + 6y)²

d)

(5x - 6y)²

12.

64x² - 81y²

a)

(8x + 7y) (8x - 7y)

b)

(8x + 9y) (8x - 9y)

c)

(6x + 7y) (6x - 7y)

d)

(6x + 9y) (6x - 9y)

13.

4x²y² - 1

a)

(2 + xy) (2 - xy)

b)

(2x + y) (2x - y)

c)

(2xy + 1) (2xy - 1)

d)

(2y + x) (2y - x)

14.

4x² - 25

a)

(2x + 5) (2x - 5)

b)

(2x - 5)²

c)

(2x + 5)²

d)

2x + 5(2x - 5)

15.

In ( $x^2$ - 100 ) is equal to ( x + 10 ) and

a)

( x + 10)

b)

( x - 10)

c)

x

d)

10

16.

x² - 16

a)

(x + 4) (x - 4)

b)

(x + 8) (x - 2)

c)

(x + 4)²

d)

x + 4(x - 4)

17.

Factorise $-8q-20pq$

a)

$-4q\left(2+5p\right)$

b)

$-\left(8q+20pq\right)$

c)

$-4q\left(2-5p\right)$

d)

$-4q\left(5p+2\right)$

18.

Factorise $x^2+3x$

a)

$x\left(x+3x\right)$

b)

$x\left(x+3\right)$

c)

$x\left(x^2+3\right)$

d)

$3\left(x^2+x\right)$

19.

Factorise $m+5m^2$

(a)

20.

On factorising 14pq + 35pqr, we get:

a)

pq(14+35r)

b)

p(14q+35qr)

c)

q(14p+35pr)

d)

7pq(2+5r)

21.

The factorisation of 25x²y - 5xy is

a)

5xy (5x - 1)

b)

5xy (5x + 1)

c)

5xy (5x + 5)

d)

5xy (x - y)

22.

Factorie mx+my+3mz

(a)

23.

Factorise $9x^2+15x$

(a)

24.

Factorise 3mn+n

(a)

25.

The highest common factor of 5a and 15b is _____

a)

5

b)

3

c)

4

d)

15

26.

The factorisation of 4x + 16 is _______

a)

4(x + 4)

b)

4(x - 4)

c)

x + 4

d)

4x + 4

Factorising (Simple and Difference of Two Squares)

Total questions: 26

Worksheet time: 42mins

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