Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 4b^2 & 4b & 3 \\ \color{blue}{ + } & 9b^2 & 7b & 9 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 4b^2 & 4b & 3 \\ \color{blue}{ + } & 9b^2 & 7b & 9 \\ \hline & 13b^2 & 11b & 12 \end{array} $$