Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 6 - Section 6.2 - Adding and Subtracting Rational Expressions - Exercise Set - Page 426: 7



Work Step by Step

Since,in the given rational expressions denominator are same, thus take it as common and add the rational terms simply. Given: $\dfrac{y^2}{y^2-9}+\dfrac{9-6y}{y^2-9}$ or, $=\dfrac{y^2+9-6y}{y^2-9}$ or, $=\dfrac{(y-3)^2}{y^2-3^2}$ or, $=\dfrac{(y-3)^2}{(y-3)(y+3)}$ or, $=\dfrac{(y-3)}{(y+3)}$
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