Intermediate Algebra: Connecting Concepts through Application

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: 15

Answer

$= \frac{(x+3)}{(x+2)}$

Work Step by Step

$\frac{x^{2}+6x+9}{(x+2)(x+3)}$ $= \frac{x^{2}+3x+3x+9}{(x+2)(x+3)}$ $= \frac{x(x+3)+3(x+3)}{(x+2)(x+3)}$ $= \frac{(x+3)(x+3)}{(x+2)(x+3)}$ $= \frac{(x+3)}{(x+2)}$
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