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 7.1 - Rational Expressions and Their Simplification - Exercise Set - Page 492: 73


$-\displaystyle \frac{1}{x}$

Work Step by Step

Simplifying Rational Expressions 1. Factor the numerator and the denominator completely. 2. Divide both the numerator and the denominator by any common factors. --- Numerator $: $ $x^{2}y-x^{2}=x^{2}(y-1)$ Denominator: $x^{3}-x^{3}y=-x^{3}(-1+y)=-x^{3}(y-1)$ Expression = $\displaystyle \frac{x^{2}(y-1)}{-x^{3}(y-1)}$ ... divide both with the common factor: $x^{2}(y-1)$ Expression = $\displaystyle \frac{1}{-x}$ = $-\displaystyle \frac{1}{x}$
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