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\frac{-x^{4}y^{4}+6x^{4}y^{3}z}{2}
Factor out \frac{1}{2}.
x^{4}y^{3}\left(-y+6z\right)
Consider -x^{4}y^{4}+6x^{4}y^{3}z. Factor out x^{4}y^{3}.
\frac{x^{4}y^{3}\left(-y+6z\right)}{2}
Rewrite the complete factored expression.