Lesson 7.9: Factoring Polynomials: Difference of Squares Answers

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What is the factorization of 49b2 − 81?

A
(7b – 9)(7b – 9)
B
(7b – 9)(7b + 9)
C
(7b2 – 9)(7b2 – 9)
D
(7b2 – 9)(7b2 + 9)
2
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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
3

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

A
6x8
B
6x16
C
9x8
D
9x16
4

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)
5

What are the factors of x2 – 100?

A
(x – 50)(x + 50)
B
(x – 10)(x + 10)
C
(x – 25)(x + 4)
D
(x – 5)(x + 20)
6

What is the square root of m6?

A
m2
B
m3
C
m4
D
m5
7

What is the square root of 16x36?

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

Which expressions are equivalent to 25x4 −64? Select three options.

A
25x4 + 40x − 40x − 64
B
25x4 + 13x − 13x − 64
C
(5x2 + 8)(5x2 − 8)
D
(x2 + 13)(x2 – 13)
E
(5x2 – 8)2
9

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
10

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

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Lesson 7.9: Factoring Polynomials: Difference of…