Add $ \, \color{blue}{ -8r^2+11r-6 } \, $ and $ \, \color{orangered}{ 7r^2-9r+14 }$.
Answer
$$ \left( \color{blue}{-8r^2+11r-6} \right) + \left( \color{orangered}{7r^2-9r+14} \right) = -r^2+2r+8 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & -8r^2 & 11r & -6 \\ \color{blue}{ + } & 7r^2 & -9r & 14 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & -8r^2 & 11r & -6 \\ \color{blue}{ + } & 7r^2 & -9r & 14 \\ \hline & -r^2 & 2r & 8 \end{array} $$This page was created using
Polynomial Operations Calculator