Question
\[ \text{Find } 2011^2 - 2010^2 \text{?} \]
Ask by Gardner Garrett. in Norway
Jan 24,2025
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Tutor-Verified Answer
Answer
\( 2011^2 - 2010^2 = 4021 \)
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Beyond the Answer
To find \( 2011^2 - 2010^2 \), 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: \[ 2011^2 - 2010^2 = (2011 - 2010)(2011 + 2010) \] This simplifies to: \[ = (1)(4021) = 4021 \] So, \( 2011^2 - 2010^2 = 4021 \).
