Home > CCA2 > Chapter 3 > Lesson 3.2.3 > Problem3-91

3-91.

For each rational expression below, state any values of the variables that would make the denominator zero. Then complete each part.

1. Use the fact that $(x + 4)^2 = (x + 4)(x + 4)$ to rewrite $\large\frac { ( x + 4 ) ^ { 2 } } { ( x + 4 ) ( x - 2 ) }$. Then look for “ones” and simplify.

Does anything factor out?

$x\ne−4\ \text{or}\ 2$

2. Use the strategy you used in part (a) to simplify the expression $\large \frac { 8 ( x + 2 ) ^ { 3 } ( x - 3 ) ^ { 3 } } { 4 ( x + 2 ) ^ { 2 } ( x - 3 ) ^ { 5 } }$.

Does anything factor out?