23
QuizMultiple Choice

Polynomial Operations — Test

Question 23 • Algebra II

Which expression is a sum of cubes?

Answer
A
negative 64 x to the 6th power y to the 12th power plus 125 x to the 16th power y cubed
B
32 x to the 6th power y to the 12th power plus 125 x to the 9th power y cubed
C
64 x to the 6th power y to the 12th power plus 125 x to the 9th power y cubed
D
negative 32 x to the 6th power y to the 12th power plus 125 x to the 16th power y cubed

Explanation

A sum of cubes has two terms that are each perfect cubes. In A, 64 = 4³, and the variable exponents 6 and 12 are multiples of 3; likewise, 125 = 5³ and the exponents 9 and 3 are multiples of 3. Thus both terms are cubes, so the expression is a sum of cubes.

AI-written and checked against the verified answer.

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