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8m^{2}+20mn-20nm-50n^{2}
Apply the distributive property by multiplying each term of 2m-5n by each term of 4m+10n.
8m^{2}-50n^{2}
Combine 20mn and -20nm to get 0.
8m^{2}+20mn-20nm-50n^{2}
Apply the distributive property by multiplying each term of 2m-5n by each term of 4m+10n.
8m^{2}-50n^{2}
Combine 20mn and -20nm to get 0.