Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 1-8 - Cumulative Review - Page 680: 71

Answer

$8(r - 4)(r + 4)$

Work Step by Step

First, we want to factor out the common term in the expression: $8(r^2 - 16)$ This expression features the difference of two squares. The formula for factoring the difference of two squares is the following: $a^2 - b^2 = (a - b)(a + b)$ In our expression, $a = r$ and $b = 4$. Let's rewrite our expression in factor form: $8(r - 4)(r + 4)$
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