Answer
$\dfrac{6}{(x-2)}$
Work Step by Step
$\frac{5}{x-2} + \frac{1}{x} + \frac{2}{x^2 -2x} $
$=\frac{5}{x-2} + \frac{1}{x} + \frac{2}{x(x -2)} $
$=\frac{5x +1(x-2) + 2}{x(x-2)}$
$=\frac{6x}{x(x-2)}$
$=\frac{6}{(x-2)}$
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: 71
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