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

To find \( 2011^2 - 2010^2 \), we can use the difference of squares formula, which states that \( a^2 - b^2 = (a-b)(a+b) \). In this case, let \( a = 2011 \) and \( b = 2010 \). Calculating the values: \[ a - b = 2011 - 2010 = 1 \] \[ a + b = 2011 + 2010 = 4021 \] Now we can apply the difference of squares formula: \[ 2011^2 - 2010^2 = (2011 - 2010)(2011 + 2010) = 1 \times 4021 = 4021 \] So, \( 2011^2 - 2010^2 = 4021 \).