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

To solve \(2011^2 - 2010^2\), we can use the difference of squares formula, which states that \(a^2 - b^2 = (a - b)(a + b)\). Here, let \(a = 2011\) and \(b = 2010\). So, we have: \[ 2011^2 - 2010^2 = (2011 - 2010)(2011 + 2010) \] Calculating each part: \[ 2011 - 2010 = 1 \] \[ 2011 + 2010 = 4021 \] Now we can substitute these values back into the formula: \[ 2011^2 - 2010^2 = 1 \cdot 4021 = 4021 \] Thus, the result is: \[ \boxed{4021} \]