Answer
$\frac{1}{x-3}$.
Work Step by Step
$\frac{x+2}{x^2-x-6}=\frac{x+2}{x^2+2x-3x-6}=\frac{x+2}{x(x+2)-3(x+2)}=\frac{x+2}{(x+2)(x-3)}=\frac{1}{x-3}$.
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 6 - Section 6.1 - Rational Expressions and Functions; Multiplying and Dividing - Exercise Set - Page 414: 29
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