Intermediate Algebra (6th Edition)

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

Chapter 6 - Section 6.2 - Adding and Subtracting Rational Expressions - Exercise Set: 106

Answer

$\dfrac{5}{4y}$

Work Step by Step

RECALL: $x^{-m}=\dfrac{1}{x^m},m \gt 0$ Use the rule above to have: $\\=\dfrac{1}{y^1}+\dfrac{1}{(4y)^1} \\=\dfrac{1}{y}+\dfrac{1}{4y}$ Make the expressions similar using the LCD which is $4y$ to have: $\\=\dfrac{1(4)}{y(4)} + \dfrac{1}{4y} \\=\dfrac{4}{4y} + \dfrac{1}{4y} \\=\dfrac{5}{4y}$
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.