ANSWER
[tex]=3k\left(3m^2+2km-4km^2-1\right)[/tex]EXPLANATION
Given;
[tex]6k^2m-3k+9km^2-12k^2m^2[/tex]The common factor is 3k;
Hence, factor out the common term;
[tex]\begin{gathered} =3k\left(2mk-1+3m^2-4m^2k\right) \\ =3k\left(3m^2+2km-4km^2-1\right) \end{gathered}[/tex]