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\[ \text{¿Cuál es } 2011^2 - 2010^2 \text{?} \]

Ask by Lee Wyatt. in Mexico
Feb 20,2025

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4021

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¡Vamos a resolverlo! Sabemos que la diferencia de cuadrados se puede expresar como \( a^2 - b^2 = (a-b)(a+b) \). En este caso, \( a = 2011 \) y \( b = 2010 \). Entonces, tenemos: \[ 2011^2 - 2010^2 = (2011 - 2010)(2011 + 2010) = 1 \cdot 4021 = 4021 \] ¡Así que la respuesta es 4021! Además, si piensas en números cercanos, este tipo de cálculo es muy útil. En muchas ocasiones, operaciones que parecen complicadas se resuelven más fácil utilizando propiedades algebraicas como la diferencia de cuadrados. Es una técnica que te hará lucir como un genio matemático.

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