Question 245983
Factor by grouping. Factor out GCF first. 
{{{x^3y^2 - 2x^2y^2 + 3xy^2 - 6y^2 }}}
= {{{y^2*(x^3 - 2x^2 + 3x - 6)}}}
= {{{y^2*(x^2*(x-2) + 3(x-2))}}}
= {{{y^2*(x^2+3)*(x-2)}}}