Answer
$\dfrac{a + b}{a-b}$
Work Step by Step
$\frac{a}{a-b} - \frac{b}{b-a}$
$=\frac{a}{a-b} - \frac{b \times(-1)}{(b-a) \times(-1)}$
$=\frac{a}{a-b} - \frac{-b}{a-b}$
$=\frac{a-(-b)}{a-b}$
$=\frac{a + b}{a-b}$
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 383: 64
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