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8\left(2x^{3}y^{2}+3x^{4}y\right)
Factor out 8.
x^{3}y\left(2y+3x\right)
Consider 2x^{3}y^{2}+3x^{4}y. Factor out x^{3}y.
8x^{3}y\left(3x+2y\right)
Rewrite the complete factored expression.