Question
\[ \text{Find } 2011^2 - 2010^2 \text{?} \]
Ask by Nunez Tran. in the United States
Mar 12,2025
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Tutor-Verified Answer
Answer
\( 2011^2 - 2010^2 = 4021 \)
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To find \( 2011^2 - 2010^2 \), we can use the difference of squares formula which states that: \[ a^2 - b^2 = (a - b)(a + b) \] In this case, let \( a = 2011 \) and \( b = 2010 \). Plugging these values into the formula gives us: \[ 2011^2 - 2010^2 = (2011 - 2010)(2011 + 2010) \] Calculating the terms, we get: \[ 2011 - 2010 = 1 \] \[ 2011 + 2010 = 4021 \] Now, substituting these results back into the expression yields: \[ 2011^2 - 2010^2 = 1 \cdot 4021 = 4021 \] So, the answer is: \[ \boxed{4021} \]
