Answer
$\frac{1}{x-1} - \frac{1}{x+4}$
Work Step by Step
$\frac{5}{(x-1)(x+4)}$ = $\frac{A}{x-1} + \frac{B}{x+4}$
Multiply both sides by (x-1) (x+4)
$5 = A(x+4) + B (x-1)$
A + B = 0
4A - B = 5
Thus A = 1 and B = -1
$\frac{1}{x-1} - \frac{1}{x+4}$
Precalculus: Mathematics for Calculus, 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305071751
ISBN 13:
978-1-30507-175-9
Chapter 10 - Section 10.7 - Partial Fractions - 10.7 Exercises - Page 750: 15
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.
