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

Question

UpStudy AI · Accepted Answer

We can use the difference of squares formula, which is given by

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

Here, let $$ a = 2011 $$ and $$ b = 2010 $$.

Substitute these values into the formula:

$$
2011^2 - 2010^2 = (2011 + 2010)(2011 - 2010).
$$

Calculate each part:

$$
2011 + 2010 = 4021,
$$
$$
2011 - 2010 = 1.
$$

Now multiply the two results:

$$
4021 \times 1 = 4021.
$$

Thus, the final answer is

$$
\boxed{4021}.
$$
$$ 2011^2 - 2010^2 = 4021 $$

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