Pregunta
\[ \text{Find } 2011^2 - 2010^2 \text{?} \]
Ask by Frazier Cox. in South Africa
Mar 12,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
\(2011^2 - 2010^2 = 4021\).
Solución
We start with the difference of squares formula:
\[
a^2 - b^2 = (a - b)(a + b)
\]
Let \(a = 2011\) and \(b = 2010\). Substituting these values, we have:
\[
2011^2 - 2010^2 = (2011 - 2010)(2011 + 2010)
\]
Calculate the difference:
\[
2011 - 2010 = 1
\]
Calculate the sum:
\[
2011 + 2010 = 4021
\]
Thus, the expression simplifies to:
\[
2011^2 - 2010^2 = 1 \times 4021 = 4021
\]
The final answer is \(4021\).
Respondido por UpStudy AI y revisado por un tutor profesional
Como
error msg
Explicar 
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 the two parts: \[ 2011 - 2010 = 1 \] \[ 2011 + 2010 = 4021 \] Now we multiply these results: \[ 2011^2 - 2010^2 = 1 \times 4021 = 4021 \] Thus, the answer is \( 4021 \).
preguntas relacionadas
¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde
Hazte Premium
