Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 3m^5 & & 1 \\ \color{blue}{ + } & 9m^5 & 3m & -2 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 3m^5 & & 1 \\ \color{blue}{ + } & 9m^5 & 3m & -2 \\ \hline & 12m^5 & 3m & -1 \end{array} $$