Trace of matrix powers

Let $P = \begin{pmatrix} 2 & 1 \ 1 & 2 \end{pmatrix}$ and $Q = \begin{pmatrix} 1 & 1 \ -2 & 4 \end{pmatrix}$. Then the value of $\operatorname{trace}(P^5 + Q^4)$ equals __________ (answer in integer).