Precalculus: Mathematics for Calculus, 7th Edition

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: 17

Answer

$\frac{2}{x-3} - \frac{2}{x+3}$

Work Step by Step

$\frac{12}{(x^2 -9)}$ = $\frac{A}{x-3} + \frac{B}{x+3}$ Multiply both sides by (x-3) (x+3) $12 = A(x+3) + B (x-3)$ A + B = 0 3A - 3B = 12 Thus A = 2 and B = -2 $\frac{2}{x-3} - \frac{2}{x+3}$
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