\((-6x^2y^2+6x^3y^2)-(6x^3y^2+3x^4y^2)\\=-6x^2y^2+6x^3y^2-6x^3y^2-3x^4y^2\\=-6x^2y^2-3x^4y^2\)
\(\left(-6x^2y^2+6x^3y^2\right)-\left(6x^3y^2+3x^4y^2\right)\\ =-6x^2y^2+6x^3y^2-6x^3y^2-3x^4y^2\\ =\left(-6x^3y^2+6x^3y^2\right)-6x^2y^2-3x^4y^2\\ =-6x^2y^2-3x^4y^2\)
\(\left(-6x^2y^2+6x^3y^2\right)-\left(6x^3y^2+3x^4y^2\right)\)
\(=-6x^2y^2+6x^3y^2-6x^3y^2-3x^4y^2\)
\(=-6x^2y^2+\left(6x^3y^2-6x^3y^2\right)-3x^4y^2\)
\(=-6x^2y^2-3x^4y^2\)