Question
Add $ \, \color{blue}{ 6x^3+2x } \, $ and $ \, \color{orangered}{ 8x^3-9x^2+5 }$.
Answer
$$ \left( \color{blue}{6x^3+2x} \right) + \left( \color{orangered}{8x^3-9x^2+5} \right) = 14x^3-9x^2+2x+5 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrr} & 6x^3 & & 2x & \\ \color{blue}{ + } & 8x^3 & -9x^2 & & 5 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrrr} & 6x^3 & & 2x & \\ \color{blue}{ + } & 8x^3 & -9x^2 & & 5 \\ \hline & 14x^3 & -9x^2 & 2x & 5 \end{array} $$This page was created using
Polynomial Operations Calculator