Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 6 - Rational Expressions and Equations - 6.4 Addition and Subtraction with Unlike Denominators - 6.4 Exercise Set - Page 402: 91



Work Step by Step

The perimeter of a rectangle is equal to the sum of twice the length of each of the adjacent sides. Doing this, we find: $$ \frac{6}{x+4}+\frac{4}{x-5}\\ \frac{6\left(x-5\right)}{\left(x+4\right)\left(x-5\right)}+\frac{4\left(x+4\right)}{\left(x-5\right)\left(x+4\right)}\\ \frac{6\left(x-5\right)+4\left(x+4\right)}{\left(x+4\right)\left(x-5\right)}\\ \frac{10x-14}{\left(x+4\right)\left(x-5\right)}$$
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