I have the following question on a worksheet:

$\displaystyle

lim ((2/x+2)-(3/x-1))/(x+8)

$

With $\displaystyle x$ approaching $\displaystyle 8$.

I simplified the equation to:

$\displaystyle

lim ((2x-2)-(3x+6))/((x-1)(x+2))/(x+8)

$

I Know that I should factor out the denominator in the upper portion, but I am unsure as to how I would do so.