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

By: USER6398
27 Agustus 2025 matematica 5 minutes
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Question

Grade: Education Subject: matematica
Demonstrati ca numarul
[tex]4^{2n} +2^{2n+1} +1[/tex], n apartine N ,este patrat perfect ..
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Answer (96)

Best Answer
(89)
2^2n   = (2² )^n   =4^n
(  4^n )²  + 2 · 4^n  + 1² = (  4^n   + 1) ² patrat perfect 
Answered on 27 Agustus 2025

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