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6m^{2}+8mn-6nm-8n^{2}
Apply the distributive property by multiplying each term of m-n by each term of 6m+8n.
6m^{2}+2mn-8n^{2}
Combine 8mn and -6nm to get 2mn.
6m^{2}+8mn-6nm-8n^{2}
Apply the distributive property by multiplying each term of m-n by each term of 6m+8n.
6m^{2}+2mn-8n^{2}
Combine 8mn and -6nm to get 2mn.