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

Ask by Rose King. in Thailand
Feb 21,2025

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4021

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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 \( b = 2010 \). Thus, \[ 2011^2 - 2010^2 = (2011 - 2010)(2011 + 2010) = 1 \cdot (2011 + 2010) = 1 \cdot 4021 = 4021. \] So, \( 2011^2 - 2010^2 = 4021 \).

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