Answer:
[tex]\boxed{3x^2y^2 (2x+3y-1)}[/tex]
Step-by-step explanation:
[tex]6x^3y^2+9x^2y^3-3x^2y^2[/tex]
For the three terms, the common factor is [tex]3x^2y^2[/tex], so
[tex]6x^3y^2+9x^2y^3-3x^2y^2 = \boxed{3x^2y^2 (2x+3y-1)}[/tex]