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