$$ \text{Find } 2011^2 - 2010^2 \text{?} $$

Question

UpStudy AI · Accepted Answer

1. We can express the expression as a difference of squares:
   $$
   2011^2 - 2010^2 = (2011 + 2010)(2011 - 2010)
   $$
   
2. Calculate the sum:
   $$
   2011 + 2010 = 4021
   $$
   
3. Calculate the difference:
   $$
   2011 - 2010 = 1
   $$
   
4. Multiply the sum and the difference:
   $$
   4021 \times 1 = 4021
   $$
   
Thus, the answer is: 
$$
\boxed{4021}
$$
The answer is 4021.

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