Question

Aratati ca N=3^3n+3+3^3n+2-3^3n+1 se divide cu 11. Rapid, va rog!!!!

Answer 1

N= 3^3n+3+3^3n+2-3^3n+1 : 11

N= 27n+3+27n+2-27n+1

N=27n+3+27n+2=27n+1

N=27n+3+27n+2=28n

N=27n+3+27n=28n-2

N=27n+3+27n=26n

N=27n+3=27n-26n

N=27n+3=n

N=27n=3n

N=27n:3n

N=9+2

N=11 => N:11 pentru ca 11:11=1