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: 32

Answer

$$\frac{\left(x-4\right)^2\left(x+9\right)}{x+7}$$

Work Step by Step

Using the rules of exponents and cancelling common factors in the numerator and the denominator, we find: $$\frac{\left(x^2+5x-36\right)\left(x^2-11x+28\right)}{x^2-49}\\ \frac{\left(x-4\right)^2\left(x+9\right)\left(x-7\right)}{\left(x+7\right)\left(x-7\right)}\\ \frac{\left(x-4\right)^2\left(x+9\right)}{x+7}$$
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