原式=2x2y-2xy2-[-3x2y2+3x2y+3x2y2-3xy2]=2x2y-2xy2+3x2y2-3x2y-3x2y2+3xy2=2x2y-3x2y-2xy2+3xy2+3x2y2-3x2y2=-x2y+xy2,当x=-1,y=2时,原式=-(-1)2×2+(-1)×22=-2-4=-6.