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 493: 96


Such expressions equal (simplify to) $-1.$

Work Step by Step

Simplifying Rational Expressions with Opposite Factors in the Numerator and Denominator The quotient of two polynomials that have opposite signs and are additive inverses is $-1$. Example $\displaystyle \frac{x-1}{1-x}=$ ... recognize that $x-1=-(1-x)$ $=\displaystyle \frac{-(1-x)}{(1-x)}$ = .... opposite factors (can be reduced) $=-1$ Such expressions equal (simplify to) $-1.$
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