Answer
$\frac{-4}{(x-1)(x+1)}$
Work Step by Step
$\frac{-2}{x-1} + \frac{2}{x+1}$
$=\frac{-2 \times (x+1)}{(x-1) \times (x+1)} + \frac{2 \times (x-1)}{(x+1) \times (x-1)}$
$=\frac{-2x -2 + 2x -2}{(x-1)(x+1)}$
$=\frac{-4}{(x-1)(x+1)}$
Intermediate Algebra (12th Edition)
by Lial, Margaret L.; Hornsby, John; McGinnis, Terry
Published by
Pearson
ISBN 10:
0321969359
ISBN 13:
978-0-32196-935-4
Chapter 6 - Section 6.2 - Adding and Subtracting Rational Expressions - 6.2 Exercises - Page 383: 66
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