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Scrieti numarul35 cu puterea 37 ca suma de doua cuburi perfecte

Răspuns :

35³⁷=35×35³⁶

35³⁶=(35¹²)³   cub perfect

35 = 27 +8 = 3³+2³

35³⁷=35×(35¹²)³=(8+27)×(35¹²)³=(2³+3³) ×(35¹²)³ =(2×35¹²)³+(3×35¹²)³