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Scrieti numarul 405 la puterea 2020 ca suma de 3 cuburi perfecte​

Răspuns :

405^2020=405•405^2019

=(64+125+216)•(405^673)³

=(4³+5³+6³)•(405^673)³

=(4•405^673)³+(5•405^673)³+(6•405^673)³