Simplify the expression

6y3xy6y\displaystyle {\frac{{{6}{y}^{{3}}}}{{{x}{y}-{6}{y}}}}

Give your answer in the form of f(x)g(x).\displaystyle {\frac{{{f{{\left({x}\right)}}}}}{{{g{{\left({x}\right)}}}}}}.

Your answer for the function f(x)\displaystyle {f{{\left({x}\right)}}} is :  
Your answer for the function g(x)\displaystyle {g{{\left({x}\right)}}} is :