Để tính \(2011^2 - 2012 \times 2010\) bằng cách sử dụng hằng đẳng thức (HĐT), ta có thể làm như sau:

Trước hết, ta nhận thấy rằng:

\[2011^2 - 2012 \times 2010\]

Có thể được viết lại dưới dạng:

\[2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

Bây giờ, ta nhóm các số lại để sử dụng hằng đẳng thức:

\[2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

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\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

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\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times 2012 + 2011 \times 2012 - 2012 \times 2010\]

\[= 2011^2 - 2011 \times