SOLUTION: divide: x^2-9/4 /x^2-6x+9/x^-x-6 please show me how to work this out

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Question 231778: divide:
x^2-9/4 /x^2-6x+9/x^-x-6
please show me how to work this out
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
divide:
x^2-9/4 /x^2-6x+9/x^-x-6
:
Assuming the problem is
%28x%5E2-9%29%2F4
----------
%28x%5E2-6x%2B9%29%2F%28x%5E2-x-6%29
:
Invert the dividing fraction and multiply
%28x%5E2-9%29%2F4 * %28x%5E2-x-6%29%2F%28x%5E2-6x%2B9%29
Factor
%28%28x-3%29%28x%2B3%29%29%2F4 * %28%28x-3%29%28x%2B2%29%29%2F%28%28x-3%29%28x-3%29%29
Cancel (x-3) twice; leaving
%28x%2B3%29%2F4 * (x+2) = %28%28x%2B3%29%28x%2B2%29%29%2F4