Question

Scrieti numarul 9 ²⁰¹¹ ca suma de doua cuburi perfecte

Answer 1

$9^{2011}=9*9^{2010}=(1+8)* 9^{2010}=( 1 +2^{3})* (9^{670})^{3}=$$(9^{670}) ^{3}+ 2^{3}* (9^{670})^{3} = (9^{670})^{3}+ ( 2*9^{670})^{3}$.