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: 20

Answer

$\frac{1}{x+2} + \frac{1}{x-1}$

Work Step by Step

$\frac{2x+1}{(x^2 + x - 2)}$ = $\frac{A}{x+2} + \frac{B}{x-1}$ Multiply both sides by (x+2) (x-1) $2x+1 = A(x-1) + B (x+2)$ $A + B = 2$ $-A + 2B = 1$ Thus A = 1 and B = 1 $\frac{1}{x+2} + \frac{1}{x-1}$
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