Answer
$ \frac{2x + 6}{(x-2)^2}$
Work Step by Step
$\frac{5x}{(x-2)^2} - \frac{3}{x-2} = \frac{5x}{(x-2)^2} - \frac{3(x-2)}{(x-2)^2} = \frac{5x - 3(x-2)}{(x-2)^2} = \frac{5x - 3x + 6}{(x-2)^2} = \frac{2x + 6}{(x-2)^2} $
Algebra: A Combined Approach (4th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321726391
ISBN 13:
978-0-32172-639-1
Chapter 7 - Section 7.4 - Adding and Subtracting Rational Expressions with Different Denominators - Exercise Set - Page 516: 32
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