Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 6 - Section 6.3 - Simplifying Complex Fractions - Exercise Set - Page 361: 40

Answer

$$ \frac{1}{x(3+x^2)}$$

Work Step by Step

First, we recall: $$ a^{-b} = \frac{1}{a^b}$$ Simplifying the given expression, this gives: $$ \frac {1} {x^2(x + \frac{3}{x})}$$ Next, we simplify using the distributive property to find: $$ \frac{1}{x(3+x^2)}$$
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