Question

[tex]x= 4^{4n} + 2^{4n+1} reprezinta  patratul  numarului... ,unde  n  apartine N*

Answer 1

[tex]4^{4n} +2^{4n+1} +1 = (2^2)^{4n} +2\cdot2^{4n}+1 =(2^{4n})^2 +2\cdot2^{4n}+1 = \\\;\\ (2^{4n}+1)^2 =(16^n+1)^2[/tex]