Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 5v^3 & & \\ \color{blue}{ + } & & 6v & -8 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 5v^3 & & \\ \color{blue}{ + } & & 6v & -8 \\ \hline & 5v^3 & 6v & -8 \end{array} $$