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

Question

UpStudy AI · Accepted Answer

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

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

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

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

Let's compute each part:

1. **Sum**: $$ 2011 + 2010 = 4021 $$
2. **Difference**: $$ 2011 - 2010 = 1 $$

Now, multiply the sum and the difference:

$$
4021 \times 1 = 4021
$$

**Answer:** $$ 2011^2 - 2010^2 = 4021 $$
$$ 2011^2 - 2010^2 = 4021 $$

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