Question

Exercitiul 5 si 6 toate punctele!!​

Answer 1

Explicație pas cu pas:

6.

a)

${14}^{n} + {2}^{n} = {(2 \cdot 7)}^{n} + {2}^{n} = {2}^{n} \cdot {7}^{n} + {2}^{n} = {2}^{n} \cdot ({7}^{n} + 1)$

$\implies ({7}^{n} + 1) \Big | {14}^{n} + {2}^{n}$

b)

${9}^{n} + {3}^{n} = {(3 \cdot 3)}^{n} + {3}^{n} = {3}^{n} \cdot {3}^{n} + {3}^{n} = {3}^{n} \cdot ({3}^{n} + 1)$

$\implies ({3}^{n} + 1) \Big | {9}^{n} + {3}^{n}$

q.e.d.