Gọi 1997 là A a có
1996=A-1
1998=A+1
\(A^2-\left(A-1\right)\left(A+1\right)\)
\(=A^2-\left(A^2+A-A+1\right)\)
\(=A^2-\left(A^2+1\right)\)
\(=A^2-A^2-1\)
\(=-1\)
1997*1997-1996*1998
(1996+1)*1997-1996*1998
1996*1997+1997-1996*1998
1996*(1997-1998)+1997
1996*(-1)+1997
-1996+1997=1