Question

Demonstrati ca 4 la purea 2n   +  2la puterea2n+1  + 1 este patrat perfect ?

Answer 1

a²+2ab+b²=(a+b)²

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