Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 8 - Polynomials and Factoring - 8-7 Factoring Special Cases - Got It? - Page 525: 4


a. $(5d+8)(5d-8)$ b. No, because $25d^{2}+64$ is not a difference of squares.

Work Step by Step

a. $25d^{2}-64=$ ...write each term as a square. $=(5d)^{2}-8^{2}$ ...factor using the rule for a difference of two squares. ($a^{2}-b^{2}=(a+b)(a-b),\ a=5d,\ b=8$) $=(5d+8)(5d-8)$ b. No, you can not use the same method because $25d^{2}+64$ is not a difference of squares.
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