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numarul x=4^4n,+2 ^4n+1,+1  reprezinta  patratul numarului ....... ,unde n apartine lui N*




Răspuns :

[tex]x=4^{4n}+2^{4n+1}+1\\ x=(2^2)^{4n}+2^{4n}\cdot 2^{1}+1^2\\ x=2^{8n}+2\cdot2^{4n}+1^2\\ x=(2^{4n})^2+2\cdot2^{4n}\cdot 1+1^2\\ x=(2^{4n}+1)^2[/tex]