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12m^{2}+3mn+8nm+2n^{2}
Apply the distributive property by multiplying each term of 3m+2n by each term of 4m+n.
12m^{2}+11mn+2n^{2}
Combine 3mn and 8nm to get 11mn.
12m^{2}+3mn+8nm+2n^{2}
Apply the distributive property by multiplying each term of 3m+2n by each term of 4m+n.
12m^{2}+11mn+2n^{2}
Combine 3mn and 8nm to get 11mn.