Question
Add $ \, \color{blue}{ -3a^3-4a^2-9a } \, $ and $ \, \color{orangered}{ -8a^3-9a+5 }$.
Answer
$$ \left( \color{blue}{-3a^3-4a^2-9a} \right) + \left( \color{orangered}{-8a^3-9a+5} \right) = -11a^3-4a^2-18a+5 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrr} & -3a^3 & -4a^2 & -9a & \\ \color{blue}{ + } & -8a^3 & & -9a & 5 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrrr} & -3a^3 & -4a^2 & -9a & \\ \color{blue}{ + } & -8a^3 & & -9a & 5 \\ \hline & -11a^3 & -4a^2 & -18a & 5 \end{array} $$This page was created using
Polynomial Operations Calculator