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Worksheets

Difference of Two Squares

Total questions: 15

Worksheet time: 21mins

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.

x4 - 100y2

a)

(x2 + 10y) (x2 - 10y)

b)

(x + 10y) (x - 10y)

c)

(x + 10y) (x3 - 10y)

d)

(x3 + 10y) (x - 10y)

10.

169x2y6 - 196w4z8

a)

(13xy3 + 14w2z4) (13xy3 - 14w2z4)

b)

(13xy2 + 14w3z4) (13xy2 - 14w3z4)

c)

(13xy6 + 14w2z4) (13xy6 - 14w2z4)

d)

(13x2y + 14w3z4) (13x2y - 14w3z4)

11.

121x2y6z8 - 225w4

a)

(11xy4z4 + 15w) (11xy2z4 - 15w)

b)

(11x2y3z4 + 15w) (11x2y3z4 - 15w)

c)

(11xy3z4 + 15w2) (11xy3z4 - 15w2)

d)

(11xy3z + 15w2) (11xy3z3 - 15w2)

12.

We can't factor using difference of two square this

25x2 - 51y2. Why?

a)

Because 51 is not a perfect cubed number.

b)

Because 51 is not a perfect squared number.

c)

Because 25 is not a perfect squared number.

d)

Because we can't factor using difference of two squares if it is addition sign.

13.

We can't factor using difference of two square this

49x2 + 4y2. Why?

a)

Because 4 is not a perfect cubed number.

b)

Because 4 is not a perfect squared number.

c)

Because 49 is not a perfect squared number.

d)

Because we can't factor using difference of two squares if it is addition sign.

14.

Which of these can factor using difference of two squares?

a)

144x2 - 49y2

b)

x2 + 4x - 12

c)

100x2 + 20x + 1

d)

14x - 16

15.

Which one is false about the difference of two squares?

a)

We can factor that it is addition sign.

b)

We can factor that it is a perfect squared number (Example: x2, 25, 49)

c)

Formula: a2 - b2 = (a + b) (a - b)

d)

We can factor that it is minus sign.