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

To simplify the expression \(2011^2 - 2010^2\), you can use the difference of squares formula, which states that \(a^2 - b^2 = (a-b)(a+b)\). Here, \(a = 2011\) and \(b = 2010\). Calculating the two parts: 1. \(a - b = 2011 - 2010 = 1\) 2. \(a + b = 2011 + 2010 = 4021\) Now, apply the difference of squares formula: \[ 2011^2 - 2010^2 = (2011 - 2010)(2011 + 2010) = 1 \times 4021 = 4021 \] So, \(2011^2 - 2010^2 = 4021\).