Question
\[ \text{Find } 2011^2 - 2010^2 \text{?} \]
Ask by Bowman Luna. in South Africa
Jan 25,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\(2011^2 - 2010^2 = 4021\)
Solution
To find \(2011^2 - 2010^2\), we can use the difference of squares formula:
\[
a^2 - b^2 = (a - b)(a + b)
\]
Let \(a = 2011\) and \(b = 2010\). Plugging these values into the formula:
\[
2011^2 - 2010^2 = (2011 - 2010)(2011 + 2010) = 1 \times 4021 = 4021
\]
**Answer:** \(4021\)
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Simplify this solution 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 \( b = 2010 \). Now, applying the formula: \[ 2011^2 - 2010^2 = (2011 - 2010)(2011 + 2010) \] Calculating each part: 1. \( 2011 - 2010 = 1 \) 2. \( 2011 + 2010 = 4021 \) Now substitute back into the formula: \[ 2011^2 - 2010^2 = 1 \times 4021 = 4021 \] Thus, the answer is \( \boxed{4021} \).
