Answer
$= \frac{(x+3)}{(x+2)}$
Work Step by Step
$\frac{x^{2}+6x+9}{(x+2)(x+3)}$
$= \frac{x^{2}+3x+3x+9}{(x+2)(x+3)}$
$= \frac{x(x+3)+3(x+3)}{(x+2)(x+3)}$
$= \frac{(x+3)(x+3)}{(x+2)(x+3)}$
$= \frac{(x+3)}{(x+2)}$
Intermediate Algebra: Connecting Concepts through Application
by Clark, Mark; Anfinson, Cynthia
Published by
Brooks Cole
ISBN 10:
0-53449-636-9
ISBN 13:
978-0-53449-636-4
Chapter 7 - Rational Functions - 7.2 Simplifying Rational Expressions - 7.2 Exercises - Page 575: 15
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