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aratati ca (x-2)(x+2)(x²+4)(x²+16)(x²+256)=x la 16 -2 la 16

Răspuns :

(x-2)(x+2)(x²+4)(x⁴+16)(x⁸+256)=x¹⁶-2¹⁶

(x-2)(x+2)(x²+4)(x⁴+16)(x⁸+256)=(x²-4)(x²+4)(x⁴+16)(x⁸+256)=
=
(x⁴-16)(x⁴+16)(x⁸+256)=(x⁸-256(x⁸+256)=x¹⁶-65536=x¹⁶-2¹⁶