Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 7 - Test: 6

Answer

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

Work Step by Step

Step 1: $\frac{y-x}{x^{2}-y^{2}}$ Step 2: $\frac{y-x}{(x+y)(x-y)}$ Step 3: $\frac{-(x-y)}{(x+y)(x-y)}$ Step 4: Cancelling (x-y) as it is common to both numerator and denominator, we get $\frac{-1}{x+y}$. Step 5: No further simplification is possible, so the final answer is $-\frac{1}{x+y}$.
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