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

Ask by Newton Hodgson. in South Africa
Feb 21,2025

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\( 2011^2 - 2010^2 = 4021 \)

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Beyond the Answer

To find \(2011^2 - 2010^2\), we can use the difference of squares formula, which states that \(a^2 - b^2 = (a - b)(a + b)\). Here, let \(a = 2011\) and \(b = 2010\). So, we can calculate: \[ 2011^2 - 2010^2 = (2011 - 2010)(2011 + 2010) \] This simplifies to: \[ 1 \times (2011 + 2010) = 1 \times 4021 = 4021 \] Therefore, \(2011^2 - 2010^2 = 4021\).

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