SOLUTION: How do I solve fractions like this: m+n over m-n minus m over m+n minus 2m squared over n squared - m squared ?

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Question 571082: How do I solve fractions like this: m+n over m-n minus m over m+n minus 2m squared over n squared - m squared ?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
How do I solve fractions like this: m+n over m-n minus m over m+n minus 2m squared over n squared - m squared ?
:
You can't solve this, you have no equal sign, you can only simplify it.
:
Assuming the problem is:
%28m%2Bn%29%2F%28m-n%29 - m%2F%28m%2Bn%29 - %282m%5E2%29%2F%28n%5E2+-+m%5E2%29
we want to change the signs in the third denominator so we can factor the difference of squares to:
%28m%2Bn%29%2F%28m-n%29 - m%2F%28m%2Bn%29 - %282m%5E2%29%2F%28-1%28m%5E2-n%5E2%29%29
that changes the sign to:
%28m%2Bn%29%2F%28m-n%29 - m%2F%28m%2Bn%29 + %282m%5E2%29%2F%28%28m%5E2-n%5E2%29%29
Factor
%28m%2Bn%29%2F%28m-n%29 - m%2F%28m%2Bn%29 + %282m%5E2%29%2F%28%28m%2Bn%29%28m-n%29%29
you can see we can put this over a single denominator
%28%28m%2Bn%29%28m%2Bn%29+-+m%28m-n%29+%2B+2m%5E2%29%2F%28%28m%2Bm%29%28m-n%29%29 = %28m%5E2%2B2mn%2Bn%5E2+-+m%5E2%2Bmn+%2B+2m%5E2%29%2F%28%28m%2Bm%29%28m-n%29%29
combine like terms, then factor
%282m%5E2+%2B+3mn+%2B+n%5E2%29%2F%28%28m%2Bm%29%28m-n%29%29 = %28%282m%2Bn%29%28m%2Bn%29%29%2F%28%28m%2Bm%29%28m-n%29%29
Cancel the (m+n), leaving us with
%282m%2Bn%29%2F%28m-n%29