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 1-14 - Cumulative Review - Final Exam - Page 930: 6

Answer

$4a^2-1$

Work Step by Step

Using $(a+b)(a-b)=a^2-b^2$, or the special product of the sum and difference of like terms, the given expression, $ (2a-1)(2a+1) ,$ is equivalent to \begin{align*}\require{cancel} & (2a)^2-(1)^2 \\&= 4a^2-1 .\end{align*} Hence, the expression $(2a-1)(2a+1)$ is equivalent to $4a^2-1$.
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