Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 6 - Section 6.3 - Complex Rational Expressions - Concept and Vocabulary Check - Page 435: 3

Answer

$\frac{1}{x+3},\frac{1}{x},x$ $x+3$ $-3$ $-\frac{1}{x(x+3)}$.

Work Step by Step

The expression to be solved is. $\Rightarrow \frac{x(x+3)}{x(x+3)}\cdot \frac{\left (\frac{1}{x+3}-\frac{1}{x} \right )}{3 }$ Apply the distributive property. $\Rightarrow \frac{x(x+3)\cdot\frac{1}{x+3}-x(x+3)\cdot\frac{1}{x} }{3x(x+3) }$ Cancel common terms. $\Rightarrow \frac{x-(x+3) }{3x(x+3) }$ Simplify. $\Rightarrow \frac{x-x-3 }{3x(x+3) }$ $\Rightarrow \frac{-3 }{3x(x+3) }$ Cancel common terms. $\Rightarrow \frac{-1 }{x(x+3) }$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.