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

Question

UpStudy AI · Accepted Answer

We start with the difference of two squares formula:

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

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

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

Calculate each term:

1. $$ 2011 - 2010 = 1 $$
2. $$ 2011 + 2010 = 4021 $$

Multiply them together:

$$
1 \times 4021 = 4021
$$

Thus, the value of $$ 2011^2 - 2010^2 $$ is $$ 4021 $$.
$$ 2011^2 - 2010^2 = 4021 $$

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