2000X1999-1999X1998+1998X1997-1997X1996
=2000*(2000-1) - (2000-1)*(2000-2)+(2000-2)*(2000-3)-(2000-3)*(2000-4)
=(2000-1)*2+(2000-3)*2
=(4000-4)*2
=8000-8=7992