(\sqrt{5}-\sqrt{15})^{365}=
\sum_{k=0}^{365}
\begin{pmatrix}
365\\
k
\end{pmatrix}
5^{\frac{365-k}{2}}15^{\frac{k}{2}}=
\sum_{k=0}^{365}
\begin{pmatrix}
365\\
k
\end{pmatrix}
(5^{365-k+k}3^{k})^{\frac{1}{2}}=
5^{365}
\sum_{k=0}^{365}
\begin{pmatrix}
365\\
k
\end{pmatrix}
3^{\frac{k}{2}}