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