Algebra 2 (1st Edition)

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

Chapter 14 Trigonometric Graphs, Identities, and Equations - 14.4 Solve Trigonometric Equations - 14.4 Exercises - Mixed Review - Page 937: 48



Work Step by Step

Creating like denominators in order to combine the fractions, we obtain: $$\frac{x+4}{\left(x+2\right)\left(x-5\right)}+\frac{x-2}{\left(x-4\right)\left(x-5\right)}\\ \frac{\left(x+4\right)\left(x-4\right)}{\left(x+2\right)\left(x-5\right)\left(x-4\right)}+\frac{\left(x-2\right)\left(x+2\right)}{\left(x-4\right)\left(x-5\right)\left(x+2\right)} \\ \frac{\left(x+4\right)\left(x-4\right)+\left(x-2\right)\left(x+2\right)}{\left(x+2\right)\left(x-5\right)\left(x-4\right)} \\ \frac{2x^2-20}{\left(x+2\right)\left(x-5\right)\left(x-4\right)}$$
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