Answer
$(x-5)^2(x+5)$
Work Step by Step
$x^2-10x+25=(x-5)^2$, $x^2-25=(x+5)(x-5)$, so the GCF is $x-5$ and the terms that are "not common" are $x-5$ and $x+5$ so LCD$=(x-5)(x-5)(x+5)=(x-5)^2(x+5)$
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 6 - Section 6.2 - Adding and Subtracting Rational Expressions - Exercise Set - Page 427: 24
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