Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 7 - Section 7.3 - Adding and Subtracting Rational Expressions with the Same Denominator - Exercise Set - Page 507: 67

Answer

$\displaystyle \frac{y}{y-5}$

Work Step by Step

Distribute $-1$ over the parentheses, $\displaystyle \frac{2y}{y-5}-\frac{2}{y-5}-\frac{y-2}{y-5}$ ... To add/subtract rational expressions with the same denominator, add/subtract numerators and place the sum/difference over the common denominator. $= \displaystyle \frac{2y-(2)-(y-2)}{y-5}$ $= \displaystyle \frac{2y-2-y+2}{y-5}$ = $\displaystyle \frac{y}{y-5}$
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