Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 8r^2 & 9r & 7 \\ \color{blue}{ + } & 9r^2 & 7r & 3 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 8r^2 & 9r & 7 \\ \color{blue}{ + } & 9r^2 & 7r & 3 \\ \hline & 17r^2 & 16r & 10 \end{array} $$