Answer
$(x-7-2a)(x-7+2a)$
Work Step by Step
$(x-7)^{2}-4a^{2}\qquad$...rewrite $4a^{2}$ as $(2a)^{2}$
$=(x-7)^{2}-(2a)^{2}\qquad$...recognize the difference of two squares: $a^{2}-b^{2}=(a-b)(a+b)$
$=(x-7-2a)(x-7+2a)$
Introductory Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-805-X
ISBN 13:
978-0-13417-805-9
Chapter 6 - Section 6.5 - A General Factoring Strategy - Exercise Set - Page 463: 117
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