Factoring Polynomials: Difference of Squares Answers

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Which expression is a difference of squares with a factor of 2x + 5?

A
4x2 + 10
B
4x2 – 10
C
4x2 + 25
D
4x2 – 25
2
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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)
3

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
4

What is the square root of 16x36?

A
4x6
B
4x18
C
8x6
D
8x18
5

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
6

What is the square root of r64?

A
r4
B
r8
C
r16
D
r32
7

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
8

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
9

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
10

Which term is a perfect square of the root 3x4?

A
6x8
B
6x16
C
9x8
D
9x16

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