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6\left(2x^{3}y^{6}+4x^{4}y^{3}-3x^{5}y\right)
Factor out 6.
x^{3}y\left(2y^{5}+4xy^{2}-3x^{2}\right)
Consider 2x^{3}y^{6}+4x^{4}y^{3}-3x^{5}y. Factor out x^{3}y.
6x^{3}y\left(2y^{5}+4xy^{2}-3x^{2}\right)
Rewrite the complete factored expression.