\(A=2008.2010=2008.\left(2009+1\right)=2008.2009+2008\)
\(B=2009.2009=2009\left(2008+1\right)=2008.2009+2009\)
\(2008< 2009\)
\(\Rightarrow2008.2009+2008< 2008.2009+2009\)
\(\Rightarrow A< B\)
A = 2008 x 2010 = 20082 x 4016
B = 20092 =2009 x 2009 = ( 2008 + 1 ) x (2008 + 1 ) = 20082 + 2008 +2008 +1 = 20082 +4017
vì 4017 >4016
Vậy A<B
A=2008.2010=20008(2009+1)=2008.2009+2008
B= 2009.2009=2009(2008+)=2008.2009+2009
Vậy A<B