SOLUTION: Hello, I have the following I cannot solve. Can you please provide me with step by step directions as to how we get the solution? Thank you so much. 4x^2-9/4x^2+12+9 divided

Algebra ->  Algebra  -> Expressions-with-variables -> SOLUTION: Hello, I have the following I cannot solve. Can you please provide me with step by step directions as to how we get the solution? Thank you so much. 4x^2-9/4x^2+12+9 divided       Log On

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Question 102139: Hello,
I have the following I cannot solve. Can you please provide me with step by step directions as to how we get the solution? Thank you so much.
4x^2-9/4x^2+12+9 divided by 6x-9
Thanks again for any help provided.
Answer by ankor@dixie-net.com(15746) About Me  (Show Source):
You can put this solution on YOUR website!
You can write this:
:
%284x%5E2-9%29%2F%284x%5E2%2B12x%2B9%29 * 1%2F%286x-9%29
:
Recognize that one is a difference of squares, the other is a perfect square:
When factored you have;
%28%282x%2B3%29%282x-3%29%29%2F%28%282x%2B3%29%282x%2B3%29%29 * 1%2F%283%282x-3%29%29
:
Note you can cancel out (2x+3) and (2x-3) leaving you with:
1%2F%282x%2B3%29 * 1%2F3 = 1%2F%283%282x%2B3%29%29