Question
\[ \text{Find } 2011^2 - 2010^2 \text{?} \]
Ask by Wilson Hammond. in South Africa
Mar 15,2025
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Answer
\(2011^2 - 2010^2 = 4021\).
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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, \( a = 2011 \) and \( b = 2010 \). Calculating \( a-b \) gives: \[ 2011 - 2010 = 1 \] Calculating \( a+b \) gives: \[ 2011 + 2010 = 4021 \] Now, substituting into the formula: \[ 2011^2 - 2010^2 = (1)(4021) = 4021 \] Therefore, \( 2011^2 - 2010^2 = 4021 \).