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