Question
Add $ \, \color{blue}{ 8x^5+3x^3-8x } \, $ and $ \, \color{orangered}{ -2x^5+2x^3 }$.
Answer
$$ \left( \color{blue}{8x^5+3x^3-8x} \right) + \left( \color{orangered}{-2x^5+2x^3} \right) = 6x^5+5x^3-8x $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 8x^5 & 3x^3 & -8x \\ \color{blue}{ + } & -2x^5 & 2x^3 & \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 8x^5 & 3x^3 & -8x \\ \color{blue}{ + } & -2x^5 & 2x^3 & \\ \hline & 6x^5 & 5x^3 & -8x \end{array} $$This page was created using
Polynomial Operations Calculator