Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 8 Rational Functions - Chapter Test - Page 607: 22

Answer

$$\frac{6x+18}{\left(x-3\right)\left(x+6\right)}$$

Work Step by Step

Ensuring that we have like denominators and then attempting to simplify, we find: $$\frac{4\left(x+6\right)}{\left(x-3\right)\left(x+6\right)}+\frac{2\left(x-3\right)}{\left(x+6\right)\left(x-3\right)}\\ \frac{4\left(x+6\right)+2\left(x-3\right)}{\left(x-3\right)\left(x+6\right)}\\ \frac{6x+18}{\left(x-3\right)\left(x+6\right)}$$
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