Question
\[ \text{Find } 2011^2 - 2010^2 \text{?} \]
Ask by Medina Cox. in South Africa
Mar 14,2025
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Tutor-Verified Answer
Answer
\( 2011^2 - 2010^2 = 4021 \)
Solution
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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 \(b = 2010\). Using the formula, we get: \[ 2011^2 - 2010^2 = (2011 - 2010)(2011 + 2010) \] Calculating the values: \[ 2011 - 2010 = 1 \] \[ 2011 + 2010 = 4021 \] Now, substituting back, we have: \[ 2011^2 - 2010^2 = 1 \cdot 4021 = 4021 \] So, the final answer is: \[ \boxed{4021} \]
