Factorize the following `|3a+b+c a^3+b^3+c^3a+b+c a^2+b^2+c^2a^4+b^4+c^4a^2+b^2+c^2a^3+b^3+c^3a^5+b^5+c^5|`

Explanation

To factorize the given determinant

\[
D = \begin{vmatrix}
3a + b + c & a^3 + b^3 + c^3 & a + b + c \\
a^2 + b^2 + c^2 & a^4 + b^4 + c^4 & a^2 + b^2 + c^2 \\
a^3 + b^3 + c^3 & a^5 + b^5 + c^5 & a^3 + b^3 + c^3
\end{vmatrix}
...