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8c^{2}-cd+40dc-5d^{2}
Apply the distributive property by multiplying each term of c+5d by each term of 8c-d.
8c^{2}+39cd-5d^{2}
Combine -cd and 40dc to get 39cd.
8c^{2}-cd+40dc-5d^{2}
Apply the distributive property by multiplying each term of c+5d by each term of 8c-d.
8c^{2}+39cd-5d^{2}
Combine -cd and 40dc to get 39cd.