Answer
$6x^{2}(x^{2}-3x+2)$
Work Step by Step
We are given the expression $6x^{4}-18x^{3}+12x^{2}$. The greatest common factor of this expression is $6x^{2}$.
We can use the distributive property to factor out the greatest common factor.
$6x^{4}-18x^{3}+12x^{2}=6x^{2}\times(x^{2}-3x+2)=6x^{2}(x^{2}-3x+2)$
