9
QuizMultiple Choice

Graphing Polynomial Functions — Unit test

Question 9 • FL-1200330-Algebra 2 CR

The side length, s, of a cube is x – 2y. If V = s3, what is the volume of the cube?

Answer
A
x3 – 6x2y + 12xy2 – 8y3
B
x3 + 6x2y + 12xy2 + 8y3
C
3x3 – 6x2y + 12xy2 – 24y3
D
3x3 + 6x2y + 12xy2 + 24y3

Explanation

The volume is the side length cubed, so substitute s = x − 2y to get V = (x − 2y)³. Expanding gives x³ − 6x²y + 12xy² − 8y³, which matches choice A.

AI-written and checked against the verified answer.

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