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DESCOMPINETI IN FACTORI 256X la puterea a 8 a - 1 /256
[tex]256 {x}^{8} - \frac{1}{256} [/tex]


Răspuns :

256x⁸ - 1/256 = 
(16x⁴)² -  (1/16)² = 
(16x⁴ - 1/16)(16x⁴ + 1/16) =
(4x² - 1/4)(4x²+1/4)(16x⁴ + 1/16) = 
(2x -1/2)(2x+1/2)(4x²+1/4)(16x⁴ + 1/16)