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3m^{2}-mn+3nm-n^{2}
Apply the distributive property by multiplying each term of m+n by each term of 3m-n.
3m^{2}+2mn-n^{2}
Combine -mn and 3nm to get 2mn.
3m^{2}-mn+3nm-n^{2}
Apply the distributive property by multiplying each term of m+n by each term of 3m-n.
3m^{2}+2mn-n^{2}
Combine -mn and 3nm to get 2mn.