Answer
$\frac{3}{x} - \frac{2}{x-4}$
Work Step by Step
$\frac{x-12}{(x^2 -4x)}$ = $\frac{A}{x} + \frac{B}{x-4}$
Multiply both sides by (x) (x-4)
$x-12 = A(x-4) + B (x)$
$A + B = 1$
$-4A = -12$
Thus A = 3 and B = -2
$\frac{3}{x} - \frac{2}{x-4}$
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: 18
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.
