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8m^{2}-12mn+2nm-3n^{2}
Apply the distributive property by multiplying each term of 4m+n by each term of 2m-3n.
8m^{2}-10mn-3n^{2}
Combine -12mn and 2nm to get -10mn.
8m^{2}-12mn+2nm-3n^{2}
Apply the distributive property by multiplying each term of 4m+n by each term of 2m-3n.
8m^{2}-10mn-3n^{2}
Combine -12mn and 2nm to get -10mn.