Question
Add $ \, \color{blue}{ -3a^3+2a^2-4 } \, $ and $ \, \color{orangered}{ a^3-3a^2-5a+7 }$.
Answer
$$ \left( \color{blue}{-3a^3+2a^2-4} \right) + \left( \color{orangered}{a^3-3a^2-5a+7} \right) = -2a^3-a^2-5a+3 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrr} & -3a^3 & 2a^2 & & -4 \\ \color{blue}{ + } & a^3 & -3a^2 & -5a & 7 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrrr} & -3a^3 & 2a^2 & & -4 \\ \color{blue}{ + } & a^3 & -3a^2 & -5a & 7 \\ \hline & -2a^3 & -a^2 & -5a & 3 \end{array} $$This page was created using
Polynomial Operations Calculator