SOLUTION: I could really use some help with this one as well. I have been working on it forever too and just cannot come up with the right answer. Simply the following algebraic fraction

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Question 452676: I could really use some help with this one as well. I have been working on it forever too and just cannot come up with the right answer.
Simply the following algebraic fraction
(9x^2-1)/(12x^2-12x)divided by (9x^2+12x+3)/(3x^2-6x+3)=
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Simply the following algebraic fraction
%289x%5E2-1%29%2F%2812x%5E2-12x%29
----------------
%289x%5E2%2B12x%2B3%29%2F%283x%5E2-6x%2B3%29
invert the dividing fraction and multiply
%289x%5E2-1%29%2F%2812x%5E2-12x%29 * %283x%5E2-6x%2B3%29%2F%289x%5E2%2B12x%2B3%29
Factor
%28%283x%2B1%29%283x-1%29%29%2F%2812x%28x-1%29%29 * %283%28x%5E2-2x%2B1%29%29%2F%283%283x%5E2%2B4x%2B1%29%29
Further factor
%28%283x%2B1%29%283x-1%29%29%2F%2812x%28x-1%29%29 * %283%28x-1%29%28x-1%29%29%2F%283%283x%2B1%29%28x%2B1%29%29
cancel out 3x+1, x-1, 3
%28%283x-1%29%29%2F%2812x%29 * %28%28x-1%29%29%2F%28%28x%2B1%29%29 = %283x%5E2-4x%2B1%29%2F%2812x%5E2%2B12x%29