10
QuizMultiple Choice

Factoring Polynomials: Sum and Difference of Cubes — Quiz

Question 10 • Algebra II

Which is a sum of cubes?

Answer
A
A cubed plus 18
B
A to the 9th power plus 16
C
A to the 6th power plus 9
D
A to the 12th power plus 8

Explanation

A sum of cubes has the form x³ + y³, where both terms are perfect cubes. In choice D, A¹² = (A⁴)³ and 8 = 2³, so A¹² + 8 is a sum of cubes. The other choices do not have both terms written as cubes.

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