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10c^{2}-5cd+10dc-5d^{2}
Apply the distributive property by multiplying each term of 5c+5d by each term of 2c-d.
10c^{2}+5cd-5d^{2}
Combine -5cd and 10dc to get 5cd.
10c^{2}-5cd+10dc-5d^{2}
Apply the distributive property by multiplying each term of 5c+5d by each term of 2c-d.
10c^{2}+5cd-5d^{2}
Combine -5cd and 10dc to get 5cd.