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

Question

UpStudy AI · Accepted Answer

To compute $$ 2011^2 - 2010^2 $$, we can use the **difference of squares** formula:

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

Here, $$ a = 2011 $$ and $$ b = 2010 $$. Applying the formula:

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

Calculate each part:

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

Now multiply the two results:

$$
1 \times 4021 = 4021
$$

**Answer:** $$ 4021 $$
$$ 2011^2 - 2010^2 = 4021 $$

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