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 5 - Polynomials and Factoring - 5.4 Factoring Perfect-Square Trinomials and Differences of Squares - 5.4 Exercise Set - Page 333: 84

Answer

$5s^2(4s+3)(4s-3)$

Work Step by Step

Factoring the $GCF= 5s^2 $, the given expression, $ 80s^4-45s^2 ,$ is equivalent to \begin{array}{l} 5s^2(16s^2-9) .\end{array} Using $x^2-y^2=(x+y)(x-y)$ or the factoring of the difference of 2 squares, then the factored form of the expression, $ 5s^2(16s^2-9) ,$ is \begin{array}{l} 5s^2(4s+3)(4s-3) .\end{array}
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