Question
\[ \text{Find } 2011^2 - 2010^2 \text{?} \]
Ask by Schultz Chan. in South Africa
Mar 08,2025
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Answer
\( 2011^2 - 2010^2 = 4021 \)
Solution
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Mind Expander
To find \(2011^2 - 2010^2\), we can apply the difference of squares formula, which states that \(a^2 - b^2 = (a - b)(a + b)\). Here, let \(a = 2011\) and \(b = 2010\). First, calculate \(a - b\) and \(a + b\): \[ a - b = 2011 - 2010 = 1 \] \[ a + b = 2011 + 2010 = 4021 \] Now, substitute those values into the formula: \[ 2011^2 - 2010^2 = (1)(4021) = 4021 \] Thus, the result is \(\boxed{4021}\).
