6
QuizMultiple Choice

Factoring Polynomials: Sum and Difference of Cubes

Question 6 • Common Core Algebra I B-IC

Which is a difference of cubes?

Answer
x
x6 – 27
x
x15 – 36
x
x16 – 64
x
x5 – 125

Explanation

A difference of cubes has two terms that are both perfect cubes. In choice A, x⁶ = (x²)³ and 27 = 3³, so x⁶ − 27 is a difference of cubes. The other choices have a constant or variable term that is not a perfect cube.

AI-written and checked against the verified answer.

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