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

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 with $$ a = 2011 $$ and $$ b = 2010 $$:

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

Calculate the differences and sums inside the parentheses:

$$
2011 - 2010 = 1
$$
$$
2011 + 2010 = 4021
$$

Now, multiply these results:

$$
1 \times 4021 = 4021
$$

**Therefore,**

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

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