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5\left(3c^{3}d+7cd^{2}+4c^{2}d^{2}\right)
Factor out 5.
cd\left(3c^{2}+7d+4cd\right)
Consider 3c^{3}d+7cd^{2}+4c^{2}d^{2}. Factor out cd.
5cd\left(3c^{2}+7d+4cd\right)
Rewrite the complete factored expression.