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

To find \(2011^2 - 2010^2\), you 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, \[ 2011^2 - 2010^2 = (2011 - 2010)(2011 + 2010) \] Calculating the two parts: 1. \(2011 - 2010 = 1\) 2. \(2011 + 2010 = 4021\) Now, substituting these values back into the formula: \[ 2011^2 - 2010^2 = 1 \times 4021 = 4021 \] Thus, the answer is \(4021\).