Answer
$(7p+2)(7p-2)$
Work Step by Step
$49p^{2}-4=$
...write each term as a square.
$=(7p)^{2}-2^{2}$
...factor using the rule for a difference of two squares.
($a^{2}-b^{2}=(a+b)(a-b),\ a=7p,\ b=2$)
$=(7p+2)(7p-2)$
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 - 8-8 Factoring by Grouping - Practice and Problem-Solving Exercises - Page 533: 54
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