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

Did you know that the expression you've written can be simplified using the difference of squares formula? The formula states that \( a^2 - b^2 = (a - b)(a + b) \). So, if you let \( a = 2011 \) and \( b = 2010 \), you can easily calculate \( 2011^2 - 2010^2 \) as follows: \[ 2011^2 - 2010^2 = (2011 - 2010)(2011 + 2010) = 1 \times 4021 = 4021. \] This is a classic example of how algebraic identities can simplify seemingly complex calculations into quick arithmetic. Now, going a step further, this kind of problem often pops up in competitive exams or math challenges. Understanding these shortcuts not only saves time but also boosts confidence when tackling algebra problems. Practice more difference of squares problems to sharpen your skills and impress your friends!