Answer:
\(6x^2y^2z(xy+2z^2)\)
Step-by-step explanation:
We are asked to factor our given polynomial.
\(6x^3y^3z+12x^2y^2z^3\)
We can see that the GCF of our given polynomial is \(6x^2y^2z\).
Upon factoring out \(6x^2y^2z\) from our given polynomial we will get,
\(6x^2y^2z(xy+2z^2)\)
Therefore, the factored form of our given polynomial would be \(6x^2y^2z(xy+2z^2)\).