Factoring Polynomials: Difference of Squares

Question 1

Which expression is equivalent to 100 n2 − 1?

Revolt · Accepted Answer

(10n)2 − (1)2

Question 2

What is the factorization of 121b4 − 49?

Revolt · Accepted Answer

(11b2 + 7)(11b2 − 7)

Question 3

Which product is equivalent to 25x2 – 16?

Revolt · Accepted Answer

(5x − 4)(5x + 4)

Question 4

What are the factors of x2 – 100?

Revolt · Accepted Answer

(x – 10)(x + 10)

Question 5

What is the square root of 16x36?

Revolt · Accepted Answer

4x18

Question 6

What is the factorization of 49b2 − 81?

Revolt · Accepted Answer

(7b – 9)(7b + 9)

Question 7

What is the square root of 64y16?

Revolt · Accepted Answer

8y8

Question 8

Which polynomial can be simplified to a difference of squares?

Revolt · Accepted Answer

16a2 – 4a + 4a – 1

Question 9

The area of a square can be represented by the expression x10. Which monomial represents a side of the square?

Revolt · Accepted Answer

x5

Question 10

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

Revolt · Accepted Answer

x2−64

Factoring Polynomials: Difference of Squares Answers