Question
\[ \text{Find } 2011^2 - 2010^2 \text{?} \]
Ask by Bush Pena. in Greece
Feb 03,2025
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Answer
Το αποτέλεσμα είναι 4021.
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Mind Expander
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 \(b = 2010\). Calculating \(a-b\) and \(a+b\): \[ a - b = 2011 - 2010 = 1, \] \[ a + b = 2011 + 2010 = 4021. \] Now, substituting these values into the formula: \[ 2011^2 - 2010^2 = (1)(4021) = 4021. \] Thus, the answer is \(\boxed{4021}\).
