Question

Aratati ca 2*n+1x3*n+2*n x3*n+1 +6*n+1 se divide cu 11.

Answer 1

[tex]a=2^{n+1}\cdot3^n+2^n\cdot3^{n+1}+6^{n+1}\\ a=2^n\cdot2\cdot3^n+2^n\cdot3^n\cdot3+6^n\cdot6\\ a=6^n\cdot2+6^n\cdot3+6^n\cdot6\\ a=6^n(2+3+6)\\ a=6^n\cdot11,q.e.d[/tex]