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