Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 11 - Polynomial and Rational Functions - Exercises to Skills Review for Chapter 11 - Page 494: 35



Work Step by Step

Simplifying using the rules of fractions, we find: $$\frac{1-a^{-2}}{1+\frac{1}{a}} \\ \frac{\frac{a^2-1}{a^2}}{\frac{a+1}{a}} \\ \frac{a^2-1}{a\left(a+1\right)} \\ \frac{\left(a+1\right)\left(a-1\right)}{a\left(a+1\right)}\\ \frac{a-1}{a}$$
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