Answer
4$x^{3}$$y^{2}$(3x - 4y)
Work Step by Step
1. For the polynomial 12$x^{4}$$y^{2}$ - 16$x^{3}$$y^{3}$ we find the GCF, which is 4$x^{3}$$y^{2}$
2. Factor out the GCF.
4$x^{3}$$y^{2}$(3x) + 4$x^{3}$$y^{2}$(-4y)
3. Use the distributive property to simplify.
4$x^{3}$$y^{2}$(3x - 4y)