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3\left(z^{2}-9y^{3}z+4y^{2}z^{2}\right)
Factor out 3.
z\left(z-9y^{3}+4y^{2}z\right)
Consider z^{2}-9y^{3}z+4y^{2}z^{2}. Factor out z.
3z\left(z-9y^{3}+4y^{2}z\right)
Rewrite the complete factored expression.