Question
Add $ \, \color{blue}{ 5c^2+7c+1 } \, $ and $ \, \color{orangered}{ 2c^3-6c+8 }$.
Answer
$$ \left( \color{blue}{5c^2+7c+1} \right) + \left( \color{orangered}{2c^3-6c+8} \right) = 2c^3+5c^2+c+9 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrr} & & 5c^2 & 7c & 1 \\ \color{blue}{ + } & 2c^3 & & -6c & 8 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrrr} & & 5c^2 & 7c & 1 \\ \color{blue}{ + } & 2c^3 & & -6c & 8 \\ \hline & 2c^3 & 5c^2 & c & 9 \end{array} $$This page was created using
Polynomial Operations Calculator