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: 46

Answer

$$\frac{\left(x-1\right)\left(x+2\right)}{\left(x+1\right)^2}$$

Work Step by Step

Trying to find like factors in the numerator and the denominator, we obtain: $$\frac{\left(x^2+3x-4\right)\left(x^2-3x-10\right)}{\left(x^2-4x-5\right)\left(x^2+5x+4\right)} \\ \frac{\left(x-1\right)\left(x+4\right)\left(x+2\right)\left(x-5\right)}{\left(x+1\right)^2\left(x-5\right)\left(x+4\right)} \\ \frac{\left(x-1\right)\left(x+2\right)}{\left(x+1\right)^2}$$
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