Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Prerequisites - P.5 - Rational Expressions - Exercises - Page 48: 34

Answer

$\frac{r+1}{r}$

Work Step by Step

$\frac{r}{r-1}\div\frac{r^2}{r^2-1}=\frac{r}{r-1}.\frac{r^2-1}{r^2}=\frac{r(r^2-1)}{(r-1)(r)(r)}=\frac{r^2-1^2}{(r-1)(r)}=\frac{(r+1)(r-1)}{(r-1)r}=\frac{r+1}{r}$
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