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

Ask by Greene Hodgson. in Nigeria
Feb 21,2025

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The answer is 4021.

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To solve \(2011^2 - 2010^2\), we 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 we have: \[ 2011^2 - 2010^2 = (2011 - 2010)(2011 + 2010) = (1)(4021) = 4021. \] Thus, \(2011^2 - 2010^2 = 4021\).

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