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