Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 7 - Section 7.3 - Adding and Subtracting Rational Expressions with the Same Denominator - Exercise Set - Page 506: 13

Answer

$\displaystyle \frac{5x+5}{x-3}$

Work Step by Step

To add rational expressions with the same denominator, add numerators and place the sum over the common denominator. If possible, factor and simplify the result. --- $\displaystyle \frac{x}{x-3}+\frac{4x+5}{x-3} = \displaystyle \frac{x+4x+5}{x-3}$ $= \displaystyle \frac{5x+5}{x-3}$ $= \displaystyle \frac{5(x+1)}{x-3}\qquad$... no common factors to reduce by
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.