## Intermediate Algebra (6th Edition)

Published by Pearson

# Chapter 6 - Section 6.2 - Adding and Subtracting Rational Expressions - Exercise Set: 86

#### Answer

$5-y^{2}$

#### Work Step by Step

The distributive property holds that $a(b-c)=ab-ac$ for real numbers a, b, and c. Therefore, $5y^{2}(\frac{1}{y^{2}}-\frac{1}{5})=(5y^{2}\times\frac{1}{y^{2}})-(5y^{2}\times\frac{1}{5})=\frac{5y^{2}}{y^{2}}-\frac{5y^{2}}{5}=5-y^{2}$

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