Factoring Polynomials: Difference of Squares

Question 1

Which polynomial can be simplified to a difference of squares?

Revolt · Accepted Answer

16a2 – 4a + 4a – 1

Question 2

Which expressions are equivalent to 25x4 −64? Select three options.25x4 + 40x − 40x − 6425x4 + 13x − 13x − 64(5x2 + 8)(5x2 − 8)(x2 + 13)(x2 – 13)(5x2 – 8)2

Revolt · Accepted Answer

25x4 + 40x − 40x − 64; 25x4 + 13x − 13x − 64; (5x2 + 8)(5x2 − 8)

Question 3

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

Revolt · Accepted Answer

x2−64

Question 4

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

Revolt · Accepted Answer

9x8

Question 5

Which expression is equivalent to 100 n2 − 1?

Revolt · Accepted Answer

(10n)2 − (1)2

Question 6

What is the square root of 64y16?

Revolt · Accepted Answer

8y8

Question 7

What is the factorization of 121b4 − 49?

Revolt · Accepted Answer

(11b2 + 7)(11b2 − 7)

Question 8

What is the square root of 16x36?

Revolt · Accepted Answer

4x18

Question 9

What are the factors of x2 – 100?

Revolt · Accepted Answer

(x – 10)(x + 10)

Question 10

Which expression is equivalent to 36x2 − 25?

Revolt · Accepted Answer

(6x)2 − (5)2

Factoring Polynomials: Difference of Squares Answers

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