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: 33

Answer

$$\frac{4\left(x+4\right)\left(x+5\right)}{x}$$

Work Step by Step

Using the rules of exponents and cancelling common factors in the numerator and the denominator, we find: $$\frac{4\left(x+5\right)}{x\left(x+4\right)}\left(x^2+8x+16\right)\\ \frac{4\left(x+4\right)^2\left(x+5\right)}{x\left(x+4\right)}\\ \frac{4\left(x+4\right)\left(x+5\right)}{x}$$
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