Question

Fie a=2^n+1×3^n+2^n×3^n+2.Arata ca a este divizibil cu 11.

Answer 1

Gasesti rezolvarea in poza

Answer 2

$a = {2}^{n + 1} \times {3}^{n} + {2}^{n} \times {3}^{n + 2} \\ \\ \\ a = {2}^{n} \times {2}^{1} \times {3}^{n} + {2}^{n} \times {3}^{n} \times {3}^{2} \\ \\ \\ a = {6}^{n} \times {2}^{1} + {6}^{n} \times {3}^{2} \\ \\ \\ a = {6}^{n} ( {2}^{1} + {3}^{2} ) \\ \\ \\ a = {6}^{n} \times 11$