Question
Add $ \, \color{blue}{ -2m^2-3m-8 } \, $ and $ \, \color{orangered}{ 7m^2+4m-8 }$.
Answer
$$ \left( \color{blue}{-2m^2-3m-8} \right) + \left( \color{orangered}{7m^2+4m-8} \right) = 5m^2+m-16 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & -2m^2 & -3m & -8 \\ \color{blue}{ + } & 7m^2 & 4m & -8 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & -2m^2 & -3m & -8 \\ \color{blue}{ + } & 7m^2 & 4m & -8 \\ \hline & 5m^2 & m & -16 \end{array} $$This page was created using
Polynomial Operations Calculator