Answer
$-\frac{1}{x+2}$
Work Step by Step
We can remove a factor of : $\frac{x-2}{x-2}=1$
$\frac{2-x}{x^2-4}=-\frac{x-2}{x^2-4}=-\frac{x-2}{(x+2)(x-2)}=-\frac{1}{x+2}$
Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
by Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.
Published by
Pearson
ISBN 10:
0-32184-874-8
ISBN 13:
978-0-32184-874-1
Chapter R - Elementary Algebra Review - R.6 Rational Expressions and Equations - R.6 Exercise Set - Page 980: 9
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