Answer
$\frac{x-5}{x-4}$
Work Step by Step
We simplify by factoring the left side and reducing with $x+4$ and $x+5$:
$\displaystyle \frac{x^{2}-25}{x^{2}-16}*\frac{x+4}{x+5}=\frac{(x-5)(x+5)}{(x-4)(x+4)}*\frac{x+4}{x+5}=\frac{x-5}{x-4}$
College Algebra 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305115546
ISBN 13:
978-1-30511-554-5
Chapter P, Prerequisites - Section P.7 - Rational Expressions - P.7 Exercises - Page 51: 26
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