Answer:
[tex]6y^2x^2z\left(xy+2z^2\right)[/tex]
Step-by-step explanation:
[tex]6x^3y^3z+12x^2y^2z^3\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c\\6y^2x^2zxy+2\cdot \:6y^2x^2zz^2\\\mathrm{Factor\:out\:common\:term\:}6y^2x^2z\\\\6y^2x^2z\left(xy+2z^2\right)[/tex]
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