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: 20

Answer

$=\frac{(t-1)}{(t-8)}$

Work Step by Step

$\frac{t^{2}+7t-8}{t^{2}-64}$ $=\frac{t^{2}+7t-8}{(t-8)(t+8)}$ $=\frac{t^{2}+8t-t-8}{(t-8)(t+8)}$ $=\frac{t(t+8)-1(t+8)}{(t-8)(t+8)}$ $=\frac{(t-1)(t+8)}{(t-8)(t+8)}$ $=\frac{(t-1)}{(t-8)}$
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