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