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

Question

UpStudy AI · Accepted Answer

1. Recognize the expression as a difference of squares:
   
   $$
   2011^2 - 2010^2 = (2011 + 2010)(2011 - 2010)
   $$

2. Compute the sum and the difference:

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

3. Multiply the two results:

$$
   4021 \times 1 = 4021
   $$

Thus, the answer is $$4021$$.
$$2011^2 - 2010^2 = 4021$$.

Upstudy AI Solution