Answer
$(2p+7)(2p-7)$
Work Step by Step
$4p^{2}-49=$ ...write each term as a square.
$=(2p)^{2}-7^{2}$ ...factor using the rule for a difference of two squares. ($a^{2}-b^{2}=(a+b)(a-b),\ a=4p,\ b=7$)
$=(2p+7)(2p-7)$
Algebra 1: Common Core (15th Edition)
by Charles, Randall I.
Published by
Prentice Hall
ISBN 10:
0133281140
ISBN 13:
978-0-13328-114-9
Chapter 8 - Polynomials and Factoring - 8-7 Factoring Special Cases - Practice and Problem-Solving Exercises - Page 527: 30
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