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