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Descompuneti in factori x la puterea 64-1

Răspuns :

x⁶⁴ - 1 = (x⁸ + 1)(x⁸ - 1) = (x⁸ + 1)(x⁴ + 1)(x⁴ - 1) = (x⁸ + 1)(x⁴ + 1)(x² + 1)(x² - 1)            = (x⁸ + 1)(x⁴ + 1)(x² + 1)(x + 1)(x - 1)