Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 7 - Rational Functions - 7.4 Adding and Subtracting Rational Expressions - 7.4 Exercises - Page 589: 36

Answer

$\frac{5x^2y-6}{x^2}$

Work Step by Step

Given \begin{equation} 5 y-\frac{6}{x^2}. \end{equation} First rewrite $5y$ as a fraction: \begin{equation} 5y= 5y\cdot\frac{x^2}{x^2}= \frac{5x^2y}{x^2}. \end{equation} Find the LCD of the fractions which is: $\mathbf{LCD}=x^2$. Perform subtraction: \begin{equation} \begin{aligned} 5 y-\frac{6}{x^2}&=\frac{5x^2y}{x^2}-\frac{6}{x^2} \\ &= \frac{5x^2y-6}{x^2}. \end{aligned} \end{equation}
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