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

Question

UpStudy AI · Accepted Answer

We can use the difference of squares formula, $$ a^2 - b^2 = (a-b)(a+b) $$.

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

Step 1: Compute $$ a - b $$:
$$
2011 - 2010 = 1
$$

Step 2: Compute $$ a + b $$:
$$
2011 + 2010 = 4021
$$

Step 3: Multiply the results:
$$
(2011-2010)(2011+2010) = 1 \times 4021 = 4021
$$

Thus, 
$$
2011^2 - 2010^2 = 4021.
$$
$$ 2011^2 - 2010^2 = 4021 $$

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