Factoring Polynomials: Difference of Squares Answers

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Which monomials are perfect cubes? Check all that apply.3x38x1227x9100x3125x5

3x3

8x12

27x9

100x3

125x5

What is ?

3x6

3x3

9x3

9x6

The expression x3 – 64 can be written as (x)3 – (4)3. What is the factorization of x3 – 64?a3 – b3 = (a – b)(a2 + ab + b2)

(x – 4)(x2 + 4x + 8)

(x – 4)(x2 + 4x + 16)

(x – 64)(x2 + 64x + 16)

(x – 64)(x2 + 64x + 4,096)

What is the factored form of 125x6 – 8?

(5x2 – 2)(25x4 – 10x2 – 4)

(5x2 – 2)(25x4 – 10x2 + 4)

(5x2 – 2)(25x4 + 10x2 + 4)

(5x2 – 2)(25x4 + 10x2 – 4)

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