1) \(-3x^2y^3-6x^3y^2-x^2y^2=-x^2y^2\left(3y+6x+1\right)\)
2) \(5x^2y^4-10x^4y^2+5x^2y^2=5x^2y^2\left(y^2-2x^2+1\right)\)
3) \(-2x^3y^4-4x^4y^3-21y^3=-y^3\left(2x^3y+4x^4+21\right)\)
4) \(4x^3y^2-8x^2y^3+12x^4=4x^2\left(xy^2-2y^3+3x^2\right)\)
5) -7x2y5-14x3y4-21y3 = -7y3(x2y2+2x3y+3)
6) -8x3y+16xy2-24=8(-x3y+2xy2-3)
7) 12x3y-6xy+3x = 3x(4x2y-2y+1)