Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 12 - Exponential Functions and Logarithmic Functions - 12.6 Solving Exponential Equations and Logarithmic Equations - 12.6 Exercise Set - Page 826: 73


$\displaystyle \frac{x(3y-2)}{2y+x}$

Work Step by Step

Numerator: $\displaystyle \frac{3}{x}-\frac{2}{xy}$=$\displaystyle \frac{3}{x}\cdot\frac{y}{y}-\frac{2}{xy} =\frac{3y-2}{xy}$ Denominator: $\displaystyle \frac{2}{x^{2}}+\frac{1}{xy}=\frac{2}{x^{2}}\cdot\frac{y}{y}+\frac{1}{xy}\cdot\frac{x}{x}=\frac{2y+x}{x^{2}y}$ Convert Numerator $\div$ Denominator to multiplication $\displaystyle \frac{3y-2}{xy}\cdot\frac{x^{2}y}{2y+x}=\quad$... cancel common factors, $x, y$ $=\displaystyle \frac{x(3y-2)}{2y+x}$
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