Answer
$\frac{2}{x-4}$
Work Step by Step
$\frac{5x+6}{x^{2}+x-20}+\frac{4-3x}{x^{2}+x-20}=\frac{5x+6+4-3x}{x^{2}+x-20}=\frac{2x+10}{x^{2}+x-20}=\frac{2(x+5)}{(x-4)(x+5)}=\frac{2}{x-4}\times\frac{x+5}{x+5}=\frac{2}{x-4}\times1=\frac{2}{x-4}$
Intermediate Algebra (12th Edition)
by Lial, Margaret L.; Hornsby, John; McGinnis, Terry
Published by
Pearson
ISBN 10:
0321969359
ISBN 13:
978-0-32196-935-4
Chapter 6 - Section 6.2 - Adding and Subtracting Rational Expressions - 6.2 Exercises - Page 382: 20
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter 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.
