Question
Add $ \, \color{blue}{ 5w^2+6w+3 } \, $ and $ \, \color{orangered}{ 6w^2+5w+1 }$.
Answer
$$ \left( \color{blue}{5w^2+6w+3} \right) + \left( \color{orangered}{6w^2+5w+1} \right) = 11w^2+11w+4 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 5w^2 & 6w & 3 \\ \color{blue}{ + } & 6w^2 & 5w & 1 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 5w^2 & 6w & 3 \\ \color{blue}{ + } & 6w^2 & 5w & 1 \\ \hline & 11w^2 & 11w & 4 \end{array} $$This page was created using
Polynomial Operations Calculator