Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 7 - Algebraic Fractions - 7.3 - Adding and Subtracting Algebraic Fractions - Problem Set 7.3: 71

Answer

$\frac{-2n+16}{n(n+4)}$

Work Step by Step

By inspection, we see that the LCM of the denominators is $n(n+4)$. Therefore, we create a common denominator using this LCM and obtain: $\frac{4}{n}-\frac{6}{n+4}$ =$\frac{4(n+4)-6(n)}{n(n+4)}$ =$\frac{4n-6n+16}{n(n+4)}$ =$\frac{-2n+16}{n(n+4)}$
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.