Answer
$ 8x^3+12x^2+6x+1$
Work Step by Step
We cube (expand) the binomial as follows:
$$
(2x+1)^3=(2x+1)(2x+1)(2x+1)=(2x)^3+3(2x)(1)^2+3(1)(2x)^2+(1)^3\\
= 8x^3+12x^2+6x+1
.$$
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: 87
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