Answer
$$27 x^3-54x^2+36x-8 .$$
Work Step by Step
We take the cube (expand) the binomial to obtain:
$$ (3x - 2)^3=(3x-2)(3x-2)(3x-2)=(3x)^3+3(3x)(-2)^2+3(-2)(3x)^2+(-2)^3\\ =27 x^3-54x^2+36x-8 .$$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Appendix A - Review - A.3 Polynomials - A.3 Assess Your Understanding - Page A31: 88
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