Factoring Polynomials: Sum and Difference of Cubes
Question 1 • Common Core Algebra I B-IC
What is the cube root of 27x18?
Answer
A
3x6
B
3x9
C
9x6
D
9x9
Explanation
The cube root of a product is the product of the cube roots: ∛(27x¹⁸) = ∛27 · ∛(x¹⁸). Since 3³ = 27 and (x⁶)³ = x¹⁸, the result is 3x⁶, which is choice A.
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