Answers NHS Algebra I Integrated Math II Semester 2 CRFactoring Polynomials: Difference of Squares

Factoring Polynomials: Difference of Squares Answers

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Which expression is equivalent to 36x2 − 25?

(18x)2 + (−5)2

(18x)2 − (5)2

(6x)2 + (−5)2

(6x)2 − (5)2

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What is the square root of 16x36?

4x6

4x18

8x6

8x18

Which expression is equivalent to 100 n2 − 1?

(10n)2 − (1)2

(10n2)2 − (1)2

(50n)2 − (1)2

(50n2)2 − (1)2

What is the square root of r64?

r16

r32

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

x2−4

x2−16

x2−64

x2−256

What is the factorization of 49b2 − 81?

(7b – 9)(7b – 9)

(7b – 9)(7b + 9)

(7b2 – 9)(7b2 – 9)

(7b2 – 9)(7b2 + 9)

What is the square root of m6?

Which polynomial can be simplified to a difference of squares?

10a2 + 3a – 3a – 16

16a2 – 4a + 4a – 1

25a2 + 6a – 6a + 36

24a2 – 9a + 9a + 4

Which product is equivalent to 25x2 – 16?

(5x − 4)(5x + 4)

(5x + 8)(5x − 8)

(5x − 4)(5x − 4)

(5x − 8)(5x − 8)

What are the factors of x2 – 100?

(x – 50)(x + 50)

(x – 10)(x + 10)

(x – 25)(x + 4)

(x – 5)(x + 20)

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Factoring Polynomials: Difference of Squares Answers

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