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

Question

UpStudy AI · Accepted Answer

Given the expression $$2011^2 - 2010^2$$, we can use the difference of squares formula, which states:

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

Let $$a = 2011$$ and $$b = 2010$$. Substituting these values, we have:

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

Now, compute the terms inside the parentheses:

$$
2011 + 2010 = 4021
$$

$$
2011 - 2010 = 1
$$

Thus, the expression becomes:

$$
2011^2 - 2010^2 = 4021 \times 1 = 4021
$$

So, the final answer is:

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

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