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: 19

Answer

$$\frac{x+20}{\left(x-4\right)\left(x+4\right)}$$

Work Step by Step

In order to simplify the expression, we first must create like denominators. After ensuring that the denominators are like denominators, we can simplify the fractions. Thus, we find: $$\frac{3\left(x+4\right)}{\left(x-4\right)\left(x+4\right)}-\frac{2\left(x-4\right)}{\left(x+4\right)\left(x-4\right)} \\ \frac{3\left(x+4\right)-2\left(x-4\right)}{\left(x-4\right)\left(x+4\right)} \\ \frac{x+20}{\left(x-4\right)\left(x+4\right)}$$
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