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 - Page 575: 16

Answer

$= \frac{1}{(p-4)}$

Work Step by Step

$\frac{p-8}{p^{2}-12p+32}$ $= \frac{p-8}{p^{2}-8p-4p+32}$ $= \frac{p-8}{p(p-8)-4(p-8)}$ $= \frac{p-8}{(p-4)(p-8)}$ $= \frac{1}{(p-4)}$
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