SOLUTION: i don't understand how to do the problem z^2+6z+9/z^2-1z-12 Please help me simplify this?

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Question 576653: i don't understand how to do the problem z^2+6z+9/z^2-1z-12
Please help me simplify this?

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify:
%28z%5E2%2B6z%2B9%29%2F%28z%5E2-z-12%29 Factor the numerator and the denominator.
cross%28%28z%2B3%29%29%28z%2B3%29%2Fcross%28%28z%2B3%29%29%28z-4%29 Now cancel the (z%2B3)'s as indicated leaving you with.
%28z%2B3%29%2F%28z-4%29