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Scrieti numarul 9 ²⁰¹¹ ca suma de doua cuburi perfecte

Răspuns :

[tex] 9^{2011}=9*9^{2010}=(1+8)* 9^{2010}=( 1 +2^{3})* (9^{670})^{3}= [/tex][tex] (9^{670}) ^{3}+ 2^{3}* (9^{670})^{3} = (9^{670})^{3}+ ( 2*9^{670})^{3} [/tex].