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

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