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

Question

UpStudy AI · Accepted Answer

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

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

**Step-by-Step Solution:**

1. **Identify $$a$$ and $$b$$:**
   $$
   a = 2011 \
   b = 2010
   $$

2. **Apply the difference of squares formula:**
   $$
   2011^2 - 2010^2 = (2011 + 2010)(2011 - 2010)
   $$

3. **Calculate the sums and differences:**
   $$
   2011 + 2010 = 4021 \
   2011 - 2010 = 1
   $$

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

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

Upstudy AI Solution