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3c^{2}-cd-24dc+8d^{2}
Apply the distributive property by multiplying each term of c-8d by each term of 3c-d.
3c^{2}-25cd+8d^{2}
Combine -cd and -24dc to get -25cd.
3c^{2}-cd-24dc+8d^{2}
Apply the distributive property by multiplying each term of c-8d by each term of 3c-d.
3c^{2}-25cd+8d^{2}
Combine -cd and -24dc to get -25cd.