SOLUTION: divide and if possible simplify x^2-4/16x^2-9(/)x-2/3-4x

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Question 238666: divide and if possible simplify
x^2-4/16x^2-9(/)x-2/3-4x
Answer by College Student(505) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28x%5E2-4%29%2F%2816x%5E2-9%29%29%2F%28%28x-2%29%2F%283-4x%29%29
.
Dividing two fractions is the same as multiplying one fraction by the reciprocal of the other. So, we can state the above problem like this as well:
.
%28%28x%5E2-4%29%2F%2816x%5E2-9%29%29%2A%28%283-4x%29%2F%28x-2%29%29
We now need to factor the first fraction.

We now proceed to cancel like terms.
Notice if we factor out -1 from the second numerator, we could cancel 4x-3 as well, so let's do that too.

Now, let's cancel (x-2) and (4x-3), so we get:
%28%28x%2B2%29%2F%284x%2B3%29%29%2A%28-1%29
...same as...
-%28%28x%2B2%29%2F%284x%2B3%29%29
.
Done! :)