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 - Page 51: 42

Answer

$\frac{2x}{(x+1)(x-1)}$

Work Step by Step

We form a common denominator: $\displaystyle \frac{1}{x+1}+\frac{1}{x-1}=\frac{x-1}{(x+1)(x-1)}+\frac{x+1}{(x+1)(x-1)}=\frac{x-1+x+1}{(x+1)(x-1)}=\frac{2x}{(x+1)(x-1)}$
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