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

Question

UpStudy AI · Accepted Answer

We start with the difference of two squares formula:
$$
a^2 - b^2 = (a - b)(a + b)
$$
Here, let $$a = 2011$$ and $$b = 2010$$.

**Step 1: Apply the formula**

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

**Step 2: Simplify the factors**

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

**Step 3: Multiply the factors**

$$
1 \times 4021 = 4021
$$

Thus, the final answer is:

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

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