1) \(a=1998^2=1998.1998=1998.\left(1996+2\right)=1998.1996+1998.2\)
\(b=1996.2000=1996.\left(1998+2\right)=1996.1998+1996.2\)
Vì 1998.1996 + 1998.2 > 1996.1998 + 1996.2
=> a > b
\(a=1998^2=1998.1998\)
Ta có :
a = 1998 . 1998
a = 1998 . ( 1996 + 2 )
a = 1998 . 1996 + 1998 . 2
b = 1996 . 2000
b = 1996 . ( 1998 + 2 )
b = 1996 . 1998 + 1996 . 2
Vì 1996 . 2 < 1998 . 2
=> 1998 . 1998 > 1996 . 2000