College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter P - Prerequisites: Fundamental Concepts of Algebra - Concept and Vocabulary Check - Page 86: 10

Answer

See below.

Work Step by Step

The numerator will be: $x-(x+3)=-3$, thus the fraction will be $\frac{-3}{3x(x+3)}=\frac{-1}{x(x+3)}$ This is because $\frac{x(x+3)}{x(x+3)}\frac{\frac{1}{x+3}-\frac{1}{x}}{3}=1\frac{\frac{x}{x(x+3)}-\frac{x+3}{x(x+3)}}{3}=\frac{x-(x+3)}{3x(x+3)}=\frac{-3}{3x(x+3)}=\frac{-1}{x(x+3)}$
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