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

Question

UpStudy AI · Accepted Answer

We start by using the difference of squares formula:

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

Here, let $$ a = 2011 $$ and $$ b = 2010 $$. Then,

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

Calculating the difference:

$$
2011 - 2010 = 1
$$

Calculating the sum:

$$
2011 + 2010 = 4021
$$

Thus, the expression becomes:

$$
1 \times 4021 = 4021
$$

So, the answer is $$4021$$.
$$2011^2 - 2010^2 = 4021$$.

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