Answer
$4x^2+4x+1$
Work Step by Step
Using $(a+b)^2=a^2+2ab+b^2$ or the square of a binomial, the given expression, $
(2x+1)^2
,$ is equivalent to
\begin{array}{l}\require{cancel}
(2x)^2+2(2x)(1)+(1)^2
\\\\=
4x^2+4x+1
.\end{array}
Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
by Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.
Published by
Pearson
ISBN 10:
0-32184-874-8
ISBN 13:
978-0-32184-874-1
Chapter R - Elementary Algebra Review - R.4 Polynomials - R.4 Exercise Set - Page 962: 58
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