Algebra 2 (1st Edition)

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

Chapter 8 Rational Functions - 8.4 Multiply and Divide Rational Expressions - 8.4 Exercises - Skill Practice - Page 578: 31



Work Step by Step

Using the rules of exponents and cancelling common factors in the numerator and the denominator, we find: $$\frac{x^2-3x-10}{x^2-2x-15}\left(x^2+10x+21\right)\\ \frac{x+2}{x+3}\left(x^2+10x+21\right)\\ \frac{\left(x+2\right)\left(x+3\right)\left(x+7\right)}{x+3}\\ \left(x+2\right)\left(x+7\right)$$
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