SOLUTION: I am trying to solve an addition rational problem by finding the LCD. {{{m^2+n^2 / m^2-n^2 + m / n-m + n / m+n}}} Thank you for your help.

Algebra ->  Rational-functions -> SOLUTION: I am trying to solve an addition rational problem by finding the LCD. {{{m^2+n^2 / m^2-n^2 + m / n-m + n / m+n}}} Thank you for your help.      Log On


   

Question 252033: I am trying to solve an addition rational problem by finding the LCD. m%5E2%2Bn%5E2+%2F+m%5E2-n%5E2+%2B+m+%2F+n-m+%2B+n+%2F+m%2Bn Thank you for your help.
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
You have three denominators :m^2, n and m
Clearly m is a factor of m^2
so the common denominator will be nm^2
so multiply the fraction with m^2 as the denominator by n/n
the n denominator by m^2/m^2
the m denominator by mn/mn
The parts with no denominator by nm^2/nm^2
nm^4 +n^3 -m^2*n^4 +nm^3- nm^3+ m^2n^2+m^2n^2
now combine terms
nm^4-m^2n^4+n^3+2m^2n^2
All over nm^2