-6x^4y^5 - 15x^3y^2 + 9x^2y^3
-6x^4y^5 = -2, 3, x, x, x, x, y, y, y, y, y
15x^3y^2 = -5, 3 x, x, x, y, y
9x^2y^3 = 3, 3 x, x, y, y, y
Each group has a 3 in common and each group has 2 x in common and each group has 2 y in common so the GCF = -3x^2y^2
Divide that out and we get
[tex]\frac{-6x^4y^5 - 15x^3y^2 + 9x^2y^3}{-3x^2y^2} =[/tex]
[tex]2x^2y^3 + 5x - 3y [/tex]
[tex]-3x^2y^2(2x^2y^3 + 5x - 3y)[/tex]
