Pregunta
\[ \text{Find } 2011^2 - 2010^2 \text{?} \]
Ask by Ingram Bartlett. in South Africa
Feb 26,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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The answer is 4021.
Solución
We can use the difference of squares formula:
a² - b² = (a + b)(a - b).
Here, a = 2011 and b = 2010. Plugging in the values:
2011² - 2010² = (2011 + 2010)(2011 - 2010)
= (4021)(1)
= 4021.
So, the answer is 4021.
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Simplifique esta solución Extra Insights
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: \[ 2011 + 2010 = 4021 \] \[ 2011 - 2010 = 1 \] Now, substituting back into the equation: \[ 2011^2 - 2010^2 = 4021 \times 1 = 4021 \] Therefore, the answer is \( \boxed{4021} \).
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