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

Question

UpStudy AI · Accepted Answer

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

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

**Step 1:** Identify $$ a $$ and $$ b $$.

$$
a = 2011 \
b = 2010
$$

**Step 2:** Apply the difference of squares formula.

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

**Step 3:** Calculate the sums and differences.

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

**Step 4:** Multiply the results.

$$
4021 \times 1 = 4021
$$

**Final Answer:**

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

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