Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter R - Algebra Reference - R.3 Rational Expressions - R.3 Exercises - Page R-10: 8

Answer

$\dfrac{r+2}{r+4}$

Work Step by Step

Simplify by factoring the numerator and the denominator then cancelling common factors to have: $\require{cancel} \\=\dfrac{(r-3)(r+2)}{(r+4)(r-3)} \\=\dfrac{\cancel{(r-3)}(r+2)}{(r+4)\cancel{(r-3)}} \\=\dfrac{r+2}{r+4}$
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