College Algebra 7th Edition

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: 26

Answer

$\frac{x-5}{x-4}$

Work Step by Step

We simplify by factoring the left side and reducing with $x+4$ and $x+5$: $\displaystyle \frac{x^{2}-25}{x^{2}-16}*\frac{x+4}{x+5}=\frac{(x-5)(x+5)}{(x-4)(x+4)}*\frac{x+4}{x+5}=\frac{x-5}{x-4}$
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