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\[ \text{Trova } 2011^2 - 2010^2 \text{?} \]

Ask by Boyd Davies. in Italy
Feb 20,2025

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Il risultato di \( 2011^2 - 2010^2 \) è 4021.

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Per risolvere \( 2011^2 - 2010^2 \), possiamo utilizzare la formula della differenza di quadrati, che afferma che \( a^2 - b^2 = (a - b)(a + b) \). In questo caso, consideriamo: - \( a = 2011 \) - \( b = 2010 \) Quindi: \[ 2011^2 - 2010^2 = (2011 - 2010)(2011 + 2010) = 1 \cdot (2011 + 2010) \] Calcoliamo \( 2011 + 2010 \): \[ 2011 + 2010 = 4021 \] Quindi, il risultato finale è: \[ 2011^2 - 2010^2 = 1 \cdot 4021 = 4021 \] Quindi, \( 2011^2 - 2010^2 = 4021 \).

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