Add $ \, \color{blue}{ 4x^5-4x^2 } \, $ and $ \, \color{orangered}{ 5x^5+7x^2 }$.
Answer
$$ \left( \color{blue}{4x^5-4x^2} \right) + \left( \color{orangered}{5x^5+7x^2} \right) = 9x^5+3x^2 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrr} & 4x^5 & -4x^2 \\ \color{blue}{ + } & 5x^5 & 7x^2 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrr} & 4x^5 & -4x^2 \\ \color{blue}{ + } & 5x^5 & 7x^2 \\ \hline & 9x^5 & 3x^2 \end{array} $$This page was created using
Polynomial Operations Calculator