(2a-2b)³, qual o resultado?
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−8b³ + 24ab² − 24a²b + 8a³ --- > −8(b−a)³
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Olá!
![\\ (2a - 2b)^3 = \\\\ \left [ 2(a - b) \right ]^3 = \\\\ 2^3 \cdot (a - b)^3 = \\\\ 8(a^3 - 3a^2b + 3ab^2 - b^3) = \\\\ \boxed{8a^3 - 24a^2b + 24ab^2 - 8b^3}](https://tex.z-dn.net/?f=%5C%5C+%282a+-+2b%29%5E3+%3D+%5C%5C%5C%5C+%5Cleft+%5B+2%28a+-+b%29+%5Cright+%5D%5E3+%3D+%5C%5C%5C%5C+2%5E3+%5Ccdot+%28a+-+b%29%5E3+%3D+%5C%5C%5C%5C+8%28a%5E3+-+3a%5E2b+%2B+3ab%5E2+-+b%5E3%29+%3D+%5C%5C%5C%5C+%5Cboxed%7B8a%5E3+-+24a%5E2b+%2B+24ab%5E2+-+8b%5E3%7D "\\ (2a - 2b)^3 = \\\\ \left [ 2(a - b) \right ]^3 = \\\\ 2^3 \cdot (a - b)^3 = \\\\ 8(a^3 - 3a^2b + 3ab^2 - b^3) = \\\\ \boxed{8a^3 - 24a^2b + 24ab^2 - 8b^3}")
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