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

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UpStudy AI · Accepted Answer

We start with the difference of squares formula:
$$
a^2 - b^2 = (a+b)(a-b)
$$
Setting $$ a = 2011 $$ and $$ b = 2010 $$, we have:
$$
2011^2 - 2010^2 = (2011 + 2010)(2011 - 2010)
$$

Next, compute the sum and difference:
$$
2011 + 2010 = 4021
$$
$$
2011 - 2010 = 1
$$

Now, multiply the results:
$$
4021 \times 1 = 4021
$$

Thus, the final result is:
$$
\boxed{4021}
$$
$$ 2011^2 - 2010^2 = 4021 $$

\[ \text{Find } 2011^2 - 2010^2 \text{?} \]

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