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

Question

UpStudy AI · Accepted Answer

1. Recognize the difference of squares formula:  
   $$
   a^2 - b^2 = (a - b)(a + b)
   $$

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

3. Substitute the values into the formula:  
   $$
   2011^2 - 2010^2 = (2011 - 2010)(2011 + 2010)
   $$

4. Compute the subtraction and addition:  
   $$
   2011 - 2010 = 1 \quad \text{and} \quad 2011 + 2010 = 4021
   $$

5. Multiply the results:  
   $$
   1 \times 4021 = 4021
   $$

$$
\textbf{Answer: } 4021
$$
$$ 2011^2 - 2010^2 = 4021 $$

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