Question 1
If $a_1, a_2, \dots, a_{2017}$ are positive integers, show that the fraction
$$
\frac{9^{2017} - 7 \cdot 3^{2017} + 7}{9^{(a_1+a_2)(a_2+a_3)\dots(a_{2016}+a_{2017})(a_{2017}+a_1)} - 1}
$$
is reducible.
$$
\frac{9^{2017} - 7 \cdot 3^{2017} + 7}{9^{(a_1+a_2)(a_2+a_3)\dots(a_{2016}+a_{2017})(a_{2017}+a_1)} - 1}
$$
is reducible.