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: 17


$= \frac{(t+5)}{(t-6)}$

Work Step by Step

$\frac{t^{2}+2t-15}{t^{2}-9t+18}$ $= \frac{t^{2}+5t-3t-15}{t^{2}-6t-3t+18}$ $= \frac{t(t+5)-3(t+5)}{t(t-6)-3(t-6)}$ $= \frac{(t-3)(t+5)}{(t-3)(t-6)}$ $= \frac{(t+5)}{(t-6)}$
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