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Demonstrati ca numarul [tex] 4^{n} -2 ^{2n+1} +1[/tex],n apartine N,este patrat perfect

Răspuns :

4^n- 2^(2n+1)+ 1= 2^2n- 2*2^n+ 1= (2^n+ 1)² e patrat perfect

O seara buna!