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Factoring Difference of Perfect Squares
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Practice Page
Directions: Answer these questions pertaining to factoring and conjugate pairs. Read carefully!
1.
The expression x2 - 36 is equivalent to which choice?

Choose:
(x + 4)(x - 9) (x - 4)(x + 9)
(x - 6)(x + 6) (x - 6)(x - 6)

 

 

2.
Factor completely:   4x2 - 16
Choose:
4x(x - 4) 4(x + 1)2
4(x - 2)(x + 2) (2x - 4)(2x + 4)

 

 

3.
Factor completely:   x3 - 9x

Choose:
x(x - 3)(x + 3) (x - 3)(x + 3)
x(x - 2)2 x2(x - 9)

 

 

4.
Factor completely:   64x2 - 100y2

Choose:
2(4x - 5y)(4x + 5y) (8x - 10y)(8x + 10y)
(32x - 50y)(32x + 50y) 4(4x - 5y)(4x + 5y)

 

 

5.
Factor completely:    y4 - y2
Choose:
(y2 + y)(y2 - y) y(y + 1)(y - 1)
y2(y2 - 1) y2 (y + 1)(y - 1)

 

 

6.
Which expression is equivalent to 81 - 64x2 ?

Choose:
(9 - 8x)(9 + 6x) (9 - 8x)(9 - 8x)
(9 - 8x)(9 + 8x) (9 - 16x)(9 + 4x)

 

 

7.
When 25x2 - 144 is factored, it is equivalent
to (5x - b)(5x + b). What is the value of b?

Choose:
11 12
14 72

 

 

8.
Which choice shows the factors of an expression that is the difference of two perfect squares?

Choose:
(2a + b)(a - 2b) (x - 7)(x - 7)
(3x - 4y)(3x + 4y) (4a - 3)(a + 3)

 

 

9.
Simplify the expression:   (x + 3)(x - 3) - (x + 5)(x - 5)
Choose:
x2 - 16 x2 + 16
-16 16

 

 

10.
Factor completely:   a4 - 16

Choose:
(a2 + 4)(a2 - 4) (a2 + 4)(a + 2)(a - 2)
(a2 - 4)2 (a2 + 4)(a2 - 2)

 

 

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