### Home > AC > Chapter 10 > Lesson 10.1.1 > Problem10-10

10-10.

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 $\left(x+4\right)^2=\left(x+4\right)\left(x+4\right)$ to rewrite $\frac{\left(x+4\right)^2}{\left(x+4\right)\left(x-2\right)}$. 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 $\frac{8\left(x+2\right)^3\left(x-3\right)^3}{4\left(x+2\right)^2\left(x-3\right)^5}$.

Does anything factor out?