解：(y^3+2)/(y^2-y+1)+(y^3-2)/(y^2+y+1)=2y(y^3+1+1)/(y^2-y+1)+(y^3-1-1)/(y^2+y+1)=2y(y+1)+1/(y^2-y+1)+(y-1)-1/(y^2+y+1)=2y1/(y^2-y+1)-1/(y^2+y+1)=0y^2-y+1=y^2+y+1解得y=0
