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Worksheets

Difference of 2 squares

Total questions: 15

Worksheet time: 23mins

Name
Class
Date
1.

x2 - 9

a)

(x + 3)2

b)

(x + 3) (x - 3)

c)

(x - 3)2

d)

x + 3(x - 3)

2.

x2 - 16

a)

(x + 4) (x - 4)

b)

(x + 8) (x - 2)

c)

(x + 4)2

d)

x + 4(x - 4)

3.

4x2 - 25

a)

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

b)

(2x - 5)2

c)

(2x + 5)2

d)

2x + 5(2x - 5)

4.

25x2 - 36y2

a)

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

b)

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

c)

(5x + 6y)2

d)

(5x - 6y)2

5.

4x2y2 - 1

a)

(2 + xy) (2 - xy)

b)

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

c)

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

d)

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

6.

64x2 - 81y2

a)

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

b)

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

c)

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

d)

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

7.

4x2 - 16

a)

4(2x + 4) (x - 2)

b)

4(4x + 2) (x - 2)

c)

(2x + 4) (2x - 4)

d)

4(x + 2) (x - 2)

8.

49x2 - 144y2

a)

(7x + 16y) (7x - 16y)

b)

(7x + 12y)2

c)

(12x + 7y) (12x - 7y)

d)

(7x + 12y) (7x - 12y)

9.
Factor 4y2 – 9.
a)
(2y + 3)(2y – 3)
b)
prime
c)
(2y + 3)(2y + 3)
d)
(2y – 3)(2y – 3)
10.

Factor completely.

x2 - 144

a)

( x - 12 ) 2

b)

( x - 12 ) ( x - 12 )

c)

( x + 12 ) ( x + 12 )

d)

( x + 12 ) ( x - 12 )

11.

Factor completely.

y2 - 196

a)

( y - 14 ) ( y - 14 )

b)

( y + 14 ) ( y - 14 )

c)

( y + 13 ) ( y - 13 )

d)

( y - 13 ) 2

12.

Factor completely.

121x2 - 49

a)

( 11x - 7 ) 2

b)

( 11x - 7 ) ( 11x - 7 )

c)

( 11x + 7 ) ( 11x - 7 )

d)

( 12x + 7 ) ( 12x - 7 )

13.

Factor completely.

64x2 - 49y2

a)

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

b)

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

c)

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

d)

( 8x - 7y )2

14.

Factor completely.

225x2 - 169y2

a)

( 15x - 13y )2

b)

( 15x + 13 ) ( 15x - 13 )

c)

( 25x + 13y ) ( 25x - 13y )

d)

( 15x + 13y ) ( 15x - 13y )

15.

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)