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Aratati ca 9la n+1-3 la 2n ori 5 este patrat perfect.


CINE EXPLICA SI SCRIE IN FORMULA MATEMATICA PRIMESTE COROANA!!!


Răspuns :

[tex]9^{n+1} - 3^{2n}\cdot5 = 9^n\cdot9- 9^n\cdot5 = 9^n(9-5)-9^n\cdot4 =(3^n)^2\cdot2^2 = \\\;\\ =(3^n\cdot2)^2[/tex]