Answer
$\frac{2x}{(x+1)(x-1)}$
Work Step by Step
We form a common denominator:
$\displaystyle \frac{1}{x+1}+\frac{1}{x-1}=\frac{x-1}{(x+1)(x-1)}+\frac{x+1}{(x+1)(x-1)}=\frac{x-1+x+1}{(x+1)(x-1)}=\frac{2x}{(x+1)(x-1)}$
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: 42
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