Question

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

Answer 1

$4^{2n}$+$2^{2n+1}$+1=($2^{n}$)²+2*$2^{n}$*1+1²=($2^{n}$+1)²-patrat perfect


am aplicat a²+2ab+b²=(a+b)²