\(A=20142014.21042016=\left(20142015-1\right).\left(20142015+1\right)\)
\(=20142015.20142015+20142015-20142015+1\)
\(=20142015^2+1>20142015^2=B\)
Vậy A > B
Ta có: \(B=20142015^2=\left(20142014+1\right)\left(20142016-1\right)=20142014.20142016+20142016-20142014-1=20142014.20142016-1< 20142014.20142016\)
\(\Rightarrow B< A\)