Chapter A.5, Problem 30AYU

To determine

To find: Simplify the given in factored form.

Answer to Problem 30AYU

$\frac{-4x-14}{{\left(x-1\right)}^2{\left(x+1\right)}^2}$

Explanation of Solution

Given:

$\frac{2}{{\left(x+2\right)}^2\left(x-1\right)}-\frac{6}{\left(x+2\right){\left(x-1\right)}^2}$

Calculation:

$\frac{2}{{\left(x+2\right)}^2\left(x-1\right)}-\frac{6}{\left(x+2\right){\left(x-1\right)}^2}=\frac{2\left(x-1\right)-6\left(x+2\right)}{{\left(x-1\right)}^2{\left(x+2\right)}^2}=\frac{-4x-14}{{\left(x-1\right)}^2{\left(x+1\right)}^2}$