Elementary Algebra

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

Chapter 7 - Algebraic Fractions - 7.1 - Simplifying Algebraic Fractions - Problem Set 7.1: 25

Answer

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

Work Step by Step

To factor the numerator, we use the rule $a^{2}-b^{2}=(a+b)(a-b)$. Then, we factor the expression in the denominator in order to cancel out common factors in the numerator and the denominator: $\frac{x^{2}-1}{3x^{2}-3x}$ =$\frac{x^{2}-1^{2}}{3x(x-1)}$ =$\frac{(x+1)(x-1)}{3x(x-1)}$ =$\frac{(x+1)}{3x}$
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.