## Algebra: A Combined Approach (4th Edition)

Published by Pearson

# Chapter 10 - Section 10.4 - Adding, Subtracting, and Multiplying Radical Expressions - Exercise Set: 79

#### Answer

$\dfrac{7x-7y}{x^{2}-y^{2}}=\dfrac{7}{x+y}$

#### Work Step by Step

$\dfrac{7x-7y}{x^{2}-y^{2}}$ Take out common factor $7$ from the numerator and factor the denominator: $\dfrac{7x-7y}{x^{2}-y^{2}}=\dfrac{7(x-y)}{(x-y)(x+y)}=\dfrac{7}{x+y}$

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