Answer
$=\frac{(t-1)}{(t-8)}$
Work Step by Step
$\frac{t^{2}+7t-8}{t^{2}-64}$
$=\frac{t^{2}+7t-8}{(t-8)(t+8)}$
$=\frac{t^{2}+8t-t-8}{(t-8)(t+8)}$
$=\frac{t(t+8)-1(t+8)}{(t-8)(t+8)}$
$=\frac{(t-1)(t+8)}{(t-8)(t+8)}$
$=\frac{(t-1)}{(t-8)}$
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: 20
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
