Question
\[ \text{Find } 2011^2 - 2010^2 \text{?} \]
Ask by Williams Hall. in India
Mar 15,2025
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Tutor-Verified Answer
Answer
\( 2011^2 - 2010^2 = 4021 \)
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Beyond the Answer
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 the difference: \[ a - b = 2011 - 2010 = 1, \] and the sum: \[ a + b = 2011 + 2010 = 4021. \] Now, substituting back into the formula: \[ 2011^2 - 2010^2 = (1)(4021) = 4021. \] So, the result is \( \boxed{4021} \).
