Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter R - Review of Basic Concepts - R.5 Rational Expressions - R.5 Exercises - Page 53: 23


$\color{blue}{\dfrac{-3}{t+5}} $

Work Step by Step

Factor the numerator and the denominator then cancel the common factors to obtain: $\require{cancel} =\dfrac{3(-1)(-3+t)}{(t+5)(t-3)} \\=\dfrac{-3(t-3)}{(t+5)(t-3)} \\=\dfrac{-3\cancel{(t-3)}}{(t+5)\cancel{(t-3)}} \\=\color{blue}{\dfrac{-3}{t+5}} $
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