## Introductory Algebra for College Students (7th Edition)

Published by Pearson

# Chapter 7 - Section 7.1 - Rational Expressions and Their Simplification - Exercise Set - Page 492: 61

#### Answer

$-1$

#### 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 $3-2x=-(2x-3)$ ... the numerator and denominator are additive inverses .... The expression simplifies to $-1$ $\displaystyle \frac{(2x-3)}{-(2x-3)}$ = $-1$

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.