Question

Demonstrati ca numarul
$4^{2n} +2^{2n+1} +1$, n apartine N ,este patrat perfect ..

Answer 1

2^2n   = (2² )^n   =4^n
(  4^n )²  + 2 · 4^n  + 1² = (  4^n   + 1) ² patrat perfect