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

Question

UpStudy AI · Accepted Answer

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

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

Let's apply this formula to the given expression:

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

Now, calculate each part:

1. **Subtract the two numbers:**
   $$
   2011 - 2010 = 1
   $$

2. **Add the two numbers:**
   $$
   2011 + 2010 = 4021
   $$

3. **Multiply the results:**
   $$
   1 \times 4021 = 4021
   $$

So,

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

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

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