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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.

Solución

To solve 2011² - 2010², notice that this is a difference of two squares which can be factored as (a + b)(a - b) where a = 2011 and b = 2010. Thus:   2011² - 2010² = (2011 + 2010) × (2011 - 2010). Calculate each part:   2011 + 2010 = 4021   2011 - 2010 = 1 So, the expression becomes:   4021 × 1 = 4021 Therefore, 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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