Question

Aratati ca urmatoarele numere sunt patrate perfecte :
a) 2 (puterea 100) + 2 (puterea 100) + 2 (puterea 101)

b) 3 (puterea 16) + 2*3 (puterea 16) + 2 + 3 (puterea 17)

URGEEENT!

Answer 1

$2^{100} + 2^{100} + 2^{101} = 2* 2^{100} + 2^{101} = 2^{101} + 2^{101} =2* 2^{101} = 2^{102}$ = $( 2^{51} ) ^{2}$
b)$3^{16} +2* 3^{16} +2* 3^{17} = 3*3^{16} +2* 3^{17} =$=$3^{17} +2* 3^{17} =3* 3^{17} = 3^{18} =( 3^{9} ) ^{2}$