5
QuizMultiple Choice

Sum and Difference of Two Cubes — Quiz

Question 5 • Algebra II

Which expression is a difference of cubes?

Answer
A
36 A to the 22th power minus b to the 16th power
B
9 w to the 33th power minus y to the 12th power
C
18 p to the 15th power minus q to the 21th power
D
64 c to the 15th power minus d to the 27th power

Explanation

A difference of cubes has the form x³ − y³, so both terms must be perfect cubes. In choice D, 64 = 4³, c¹⁵ = (c⁵)³, and d²⁷ = (d⁹)³. Thus 64c¹⁵ − d²⁷ is a difference of cubes.

AI-written and checked against the verified answer.

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