18
QuizMultiple Select

Factoring Polynomials: Double Grouping — Cumulative exam

Question 18 • Common Core Algebra I B-IC

Which are differences of perfect cubes? Select two options.9a3- 27125a12 - 72216a6 - 27y38a15 - 27225a3 - 216

Answer
A
9a3- 27
B
125a12 - 72
C
216a6 - 27y3
D
8a15 - 27
E
225a3 - 216

Explanation

A difference of perfect cubes has both terms written as cubes. In C, 216a⁶ = (6a²)³ and 27y³ = (3y)³. In D, 8a¹⁵ = (2a⁵)³ and 27 = 3³, so both expressions are differences of perfect cubes.

AI-written and checked against the verified answer.

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