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

Question

UpStudy AI · Accepted Answer

We start by recognizing the difference of squares formula:
$$
a^2 - b^2 = (a - b)(a + b)
$$

Let $$a = 2011$$ and $$b = 2010$$. Then,

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

First, compute $$2011 - 2010$$:
$$
2011 - 2010 = 1
$$

Next, compute $$2011 + 2010$$:
$$
2011 + 2010 = 4021
$$

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

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

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