Question
Add $ \, \color{blue}{ x^2-6x+9 } \, $ and $ \, \color{orangered}{ 2x^2-9x+9 }$.
Answer
$$ \left( \color{blue}{x^2-6x+9} \right) + \left( \color{orangered}{2x^2-9x+9} \right) = 3x^2-15x+18 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & x^2 & -6x & 9 \\ \color{blue}{ + } & 2x^2 & -9x & 9 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & x^2 & -6x & 9 \\ \color{blue}{ + } & 2x^2 & -9x & 9 \\ \hline & 3x^2 & -15x & 18 \end{array} $$This page was created using
Polynomial Operations Calculator