8
QuizMultiple Choice

Factoring Polynomials: Sum and Difference of Cubes — Quiz

Question 8 • Algebra II

Which expression is equivalent to cube root of 216 x cubed y to the 6th power z to the 12th power ?

Answer
A
36 x y squared z to the 4th power
B
18 x y cubed z to the 6th power
C
72 x y cubed z to the 6th power
D
6 x y squared z to the 4th power

Explanation

Take the cube root of each factor: ∛216 = 6, ∛x³ = x, ∛y⁶ = y², and ∛z¹² = z⁴. Multiplying these results gives 6xy²z⁴, which is choice D.

AI-written and checked against the verified answer.

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