Question 252031: please help me solve this equation: m^2+n^2 m n
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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 
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Our third term,  is missing an (m-n). So multiply the top and bottom by (m-n) and we get 
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Now that we have a common denominator, we add and subtract.
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distribute the -m and n
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Combine like terms
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