Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 7 - Section 7.1 - Rational Expressions and Their Simplification - Exercise Set: 33

Answer

$\frac{1}{x-5}$

Work Step by Step

To simplify, divide both the numerator and denominator by their greatest common factor. Use the factorization to find the GCF. $\frac{x+5}{x^2-25}=\frac{(x+5)}{(x+5)(x-5)}=\frac{(x+5)\div(x+5)}{(x+5)(x-5)\div(x+5)}=\frac{1}{x-5}$
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