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