2
QuizMultiple Choice

The Binomial Theorem

Question 2 • Adv. Algebra II S1 Original

The side length, s, of a cube is 4x2 + 3. If V = s3, what is the volume of the cube?

Answer
A
64x6 + 144x4 + 108x2 + 27
B
64x6 + 48x4 + 12x2 + 1
C
4x6 + 36x4 + 108x2 + 27
D
4x6 + 12x4 +12x2 + 1

Explanation

Substitute the side length into the volume formula: V = (4x² + 3)³. Using (a + b)³ = a³ + 3a²b + 3ab² + b³, this becomes 64x⁶ + 144x⁴ + 108x² + 27. So the volume is choice A.

AI-written and checked against the verified answer.

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