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