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

Question

UpStudy AI · Accepted Answer

We can use the difference of squares formula:

$$
a^2 - b^2 = (a+b)(a-b)
$$

For $$ a = 2011 $$ and $$ b = 2010 $$:

1. Substitute into the formula:
   $$
   2011^2 - 2010^2 = (2011 + 2010)(2011 - 2010)
   $$

2. Calculate the sums and differences:
   $$
   2011 + 2010 = 4021
   $$
   $$
   2011 - 2010 = 1
   $$

3. Multiply the results:
   $$
   4021 \times 1 = 4021
   $$

Thus, the answer is $$ 4021 $$.
$$ 2011^2 - 2010^2 = 4021 $$

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