Add $ \, \color{blue}{ 6q^4-q^3+9q^2+6q+4 } \, $ and $ \, \color{orangered}{ 6q^4+7q^3+2q^2-3q }$.
Answer
$$ \left( \color{blue}{6q^4-q^3+9q^2+6q+4} \right) + \left( \color{orangered}{6q^4+7q^3+2q^2-3q} \right) = 12q^4+6q^3+11q^2+3q+4 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrrr} & 6q^4 & -q^3 & 9q^2 & 6q & 4 \\ \color{blue}{ + } & 6q^4 & 7q^3 & 2q^2 & -3q & \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrrrr} & 6q^4 & -q^3 & 9q^2 & 6q & 4 \\ \color{blue}{ + } & 6q^4 & 7q^3 & 2q^2 & -3q & \\ \hline & 12q^4 & 6q^3 & 11q^2 & 3q & 4 \end{array} $$This page was created using
Polynomial Operations Calculator