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: 25

Answer

$\frac{-5x + 14}{4x}$

Work Step by Step

$\frac{-x+2}{x} - \frac{x-6}{4x} = \frac{4\times(-x+2)}{4x} - \frac{x-6}{4x} = \frac{-4x+8}{4x} - \frac{x-6}{4x} = \frac{-4x+8 - (x - 6)}{4x} = \frac{-5x + 14}{4x}$
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