Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

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: 58

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}
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