Question

Reduce the rational expression to lowest terms.cd — c+d —1/ cd +c+d+1=

Answer 1

we have the expression

$\frac{cd-c+d-1}{cd+c+d+1}$

Group terms

$\frac{(cd+d)+(-c-1)}{(cd+d)+(c+1)}$$\frac{d(c+1)-(c+1)}{d(c+1)+(c+1)}$

factor (c+1)

$\frac{(c+1)(d-1)}{(c+1)(d+1)}$

Simplify

$\frac{(d-1)}{(d+1)}$