Question

Scrieti numarul 35 la puterea 37 ca suma de doua cuburi perfecte

Answer 1

35^37

=35·35^36

=(27+8)·(35^12)^3

=(3^3  +2^3) ·(35^12)^3

=(3·35^12)^3 + (2·35^12)^3

Answer 2

35^37 = 35^36 × 35 =

= 35^36 × ( 27 + 8) =

= 35^36 × ( 3^3 + 2^3) =

= (35^12)^3 × 3^3 + (25^12)^3 × 2^3 =

= (35^12 × 3)^3 + (35^12 × 2)^3
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sumă de cuburi perfecte