SOLUTION: How to simplify this expression? (2m+3n/2m^2-5mn-12n^2)/(2m^2-7mn-4n^2/m^2-8mn+16n^2)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: How to simplify this expression? (2m+3n/2m^2-5mn-12n^2)/(2m^2-7mn-4n^2/m^2-8mn+16n^2)      Log On


   

Question 148060: How to simplify this expression?
(2m+3n/2m^2-5mn-12n^2)/(2m^2-7mn-4n^2/m^2-8mn+16n^2)
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Find the factors for the quadratic terms and then cancel to simplify.
2m%5E2-5mn-12n%5E2 = %282m%2B3n%29%28m-4n%29
2m%5E2-7mn-4n%5E2 = %282m+%2B1n%29%28m-4n%29
m%5E2-8mn%2B16n%5E2 = %28m-4n%29%28m-4n%29
Now cancel what you can, remembering that dividing by a fraction is just the same as multiplying by that fractions inverse.
Ping if you cant get it