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: 29



Work Step by Step

Using the rules of exponents and cancelling common factors in the numerator and the denominator, we find: $$\frac{\left(x+5\right)\times \:2\left(x^2-16\right)}{\left(4x-16\right)\left(x^2-25\right)}\\ \frac{\left(x+5\right)\left(x^2-16\right)}{2\left(x-4\right)\left(x^2-25\right)}\\ \frac{\left(x+5\right)\left(x+4\right)\left(x-4\right)}{2\left(x-4\right)\left(x+5\right)\left(x-5\right)}\\ \frac{x+4}{2\left(x-5\right)}$$
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