Factoring Polynomials: Difference of Squares

Question 1

What is the factorization of 121b4 − 49?

Revolt · Accepted Answer

(11b2 + 7)(11b2 − 7)

Question 2

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

Revolt · Accepted Answer

x2−64

Question 3

What are the factors of x2 – 100?

Revolt · Accepted Answer

(x – 10)(x + 10)

Question 4

Which expression is a difference of squares with a factor of 2x + 5?

Revolt · Accepted Answer

4x2 – 25

Question 5

Which polynomial can be simplified to a difference of squares?

Revolt · Accepted Answer

16a2 – 4a + 4a – 1

Question 6

Which expression is equivalent to 100 n2 − 1?

Revolt · Accepted Answer

(10n)2 − (1)2

Question 7

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

Revolt · Accepted Answer

9x8

Question 8

Which expression is equivalent to 36x2 − 25?

Revolt · Accepted Answer

(6x)2 − (5)2

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 the square root of m6?

Revolt · Accepted Answer

m3

Factoring Polynomials: Difference of Squares Answers