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: 62



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. The quotient of two polynomials that are additive inverses is $-1$. --- Observe that $4-5x=-(5x-4)$ ... the numerator and denominator are additive inverses .... The expression simplifies to $-1$ $\displaystyle \frac{(5x-4)}{-(5x-4)}$ = $-1$
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