Factoring Polynomials: Difference of Squares Answers

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Which polynomial can be simplified to a difference of squares?

A
10a2 + 3a – 3a – 16
B
16a2 – 4a + 4a – 1
C
25a2 + 6a – 6a + 36
D
24a2 – 9a + 9a + 4
2
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Which expression is equivalent to 36x2 − 25?

A
(18x)2 + (−5)2
B
(18x)2 − (5)2
C
(6x)2 + (−5)2
D
(6x)2 − (5)2
3

What is the factorization of 121b4 − 49?

A
(11b − 7)(11b − 7)
B
(11b + 7)(11b − 7)
C
(11b2 − 7)(11b2 − 7)
D
(11b2 + 7)(11b2 − 7)
4

What is the square root of 64y16?

A
4y4
B
4y8
C
8y4
D
8y8
5

Which product is equivalent to 25x2 – 16?

A
(5x − 4)(5x + 4)
B
(5x + 8)(5x − 8)
C
(5x − 4)(5x − 4)
D
(5x − 8)(5x − 8)
6

Which expression is equivalent to 100 n2 − 1?

A
(10n)2 − (1)2
B
(10n2)2 − (1)2
C
(50n)2 − (1)2
D
(50n2)2 − (1)2
7

What is the square root of m6?

A
m2
B
m3
C
m4
D
m5
8

What is a difference of squares that has a factor of x+8?

A
x2−4
B
x2−16
C
x2−64
D
x2−256
9

What is the square root of 16x36?

A
4x6
B
4x18
C
8x6
D
8x18
10

The area of a square can be represented by the expression x10. Which monomial represents a side of the square?

A
x2
B
x5
C
x20
D
x100

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