Problema 6. Expresar como el producto de ciclos ajenos: (1,2,3)(4,5),(1,6,7,8,9)(1,5)

\begin{equation*} \begin{pmatrix} 1,2,3 \end{pmatrix} \begin{pmatrix} 4,5 \end{pmatrix} \begin{pmatrix} 1,6,7,8,9 \end{pmatrix} \begin{pmatrix} 1,5 \end{pmatrix} \end{equation*} \begin{equation*} \begin{pmatrix} 1&2&3&4&5&6&7&8&9 \\ 2&3&1&5&4&6&7&8&9 \end{pmatrix} \begin{pmatrix} 1&6&7&8&9 \end{pmatrix} \begin{pmatrix} 1&5 \end{pmatrix} \end{equation*} \begin{equation*} \begin{pmatrix} 1&2&3&4&5&6&7&8&9 \\ 2&3&6&5&4&7&8&9&1 \end{pmatrix} \begin{pmatrix} 1&5 \end{pmatrix} \end{equation*} \begin{equation*} \begin{pmatrix} 1&2&3&4&5&6&7&8&9 \\ 2&3&6&1&4&7&8&9&5 \end{pmatrix} \end{equation*}