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4m^{2}+8mn-nm-2n^{2}-2m
Apply the distributive property by multiplying each term of 4m-n by each term of m+2n.
4m^{2}+7mn-2n^{2}-2m
Combine 8mn and -nm to get 7mn.
4m^{2}+8mn-nm-2n^{2}-2m
Apply the distributive property by multiplying each term of 4m-n by each term of m+2n.
4m^{2}+7mn-2n^{2}-2m
Combine 8mn and -nm to get 7mn.