Question
Add $ \, \color{blue}{ -7x^{10}+2x^6-3x^3 } \, $ and $ \, \color{orangered}{ 2x^{10}-x^6+x^3 }$.
Answer
$$ \left( \color{blue}{-7x^{10}+2x^6-3x^3} \right) + \left( \color{orangered}{2x^{10}-x^6+x^3} \right) = -5x^{10}+x^6-2x^3 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & -7x^{10} & 2x^6 & -3x^3 \\ \color{blue}{ + } & 2x^{10} & -x^6 & x^3 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & -7x^{10} & 2x^6 & -3x^3 \\ \color{blue}{ + } & 2x^{10} & -x^6 & x^3 \\ \hline & -5x^{10} & x^6 & -2x^3 \end{array} $$This page was created using
Polynomial Operations Calculator