2. (6 points) $2012 \times 2012 - 2013 \times 2011=$
【Solution】Solve: $2012 \times 2012-2013 \times 2011$,
$$
\begin{array}{l}
=2012^{2}-(2012+1) \times(2012-1), \\
=2012^{2}-\left(2012^{2}-1^{2}\right), \\
=2012^{2}-2012^{2}+1, \\
=1 .
\end{array}
$$

Therefore, the answer is: 1 .