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: 46

Answer

$\frac{1-2y}{2x+2y}$

Work Step by Step

Step 1: $\frac{1}{2x+2y}-\frac{y}{x+y}$ Step 2: $\frac{1\times1}{(2x+2y)\times1}-\frac{y\times2}{(x+y)\times2}$ Step 3: $\frac{1}{2x+2y}-\frac{2y}{2x+2y}$ Step 4: $\frac{1-2y}{2x+2y}$ Step 5: No further simplification possible, so the answer is $\frac{1-2y}{2x+2y}$
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