Pregunta
\[ \text{Find } 2011^2 - 2010^2 \text{?} \]
Ask by Cross Phillips. in the United States
Feb 07,2025
Solución de tutoría real
Respuesta verificada por el tutor
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2011² - 2010² = 4021
Solución
We can use the difference of squares formula, which states that a² - b² = (a + b)(a - b).
Here, a = 2011 and b = 2010. Plugging these in:
2011² - 2010² = (2011 + 2010) × (2011 - 2010)
= (4021) × (1)
= 4021
Thus, the value of 2011² - 2010² is 4021.
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Simplifique esta solución The Deep Dive
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 \( b = 2010 \). So, we have: \[ 2011^2 - 2010^2 = (2011 - 2010)(2011 + 2010) \] Calculating each part: \[ 2011 - 2010 = 1 \] \[ 2011 + 2010 = 4021 \] Now, substituting back into the formula gives: \[ 2011^2 - 2010^2 = 1 \times 4021 = 4021 \] Therefore, \[ \text{The answer is } 4021. \]
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