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

Question

UpStudy AI · Accepted Answer

To find the value of $$ 2011^2 - 2010^2 $$, we can use the **difference of squares** formula. The difference of squares states that:

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

Here, $$ a = 2011 $$ and $$ b = 2010 $$. Applying the formula:

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

Calculate each part:

1. **Sum $$ (a + b) $$:**
   $$
   2011 + 2010 = 4021
   $$

2. **Difference $$ (a - b) $$:**
   $$
   2011 - 2010 = 1
   $$

Now, multiply the sum and the difference:

$$
4021 \times 1 = 4021
$$

**Therefore,**

$$
2011^2 - 2010^2 = 4021
$$
$$ 2011^2 - 2010^2 = 4021 $$

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