Algebra: A Combined Approach (4th Edition)

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: 32

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} $
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