SOLUTION: please help me solve this equation: m^2+n^2 m n -------- + --- + --- m^2-n^2 n-m m+n

Question 252031: please help me solve this equation: m^2+n^2 m n
-------- + --- + ---
m^2-n^2 n-m m+n
Answer by MRperkins(300) (Show Source): You can put this solution on YOUR website!
First of all, m^2-n^2 factors to (m+n)(m-n)
In order to add or subtract, you need to get a common denominator. remember
The least common multiple of these terms is (m+n)(m-n).
multiply each term by what it is missing to have a common denominator
the first term, is not missing anything, so leave it alone.
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The second term, is very close to having the m-n of the least common denominator. In order to make it look the same though, we need to factor out a -1. We can also switch the order of m and n so that they look the same. We still need to multiply by (m+n), so our second term becomes
.
Our third term, is missing an (m-n). So multiply the top and bottom by (m-n) and we get
.
Now that we have a common denominator, we add and subtract.

.
distribute the -m and n

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Combine like terms

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