AnswersFL-1200310-Algebra 1Factoring Polynomials: Difference of Squares

Factoring Polynomials: Difference of Squares Answers

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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
2
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What is the square root of 16x36?

A
4x6
B
4x18
C
8x6
D
8x18
3

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
4

What is the square root of r64?

A
r4
B
r8
C
r16
D
r32
5

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
6

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)
7

What is the square root of m6?

A
m2
B
m3
C
m4
D
m5
8

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
9

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)
10

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)

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