Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 7d^2 & 5d & 3 \\ \color{red}{ - } & d^2 & & \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & 7d^2 & 5d & 3 \\ \color{red}{ - } & -d^2 & & \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 7d^2 & 5d & 3 \\ \color{red}{ - } & -d^2 & & \\ \hline & 8d^2 & 5d & 3 \end{array} $$