Add $ \, \color{blue}{ 4x^3-5x^2+3x } \, $ and $ \, \color{orangered}{ -2x^3-x^2+6x }$.
Answer
$$ \left( \color{blue}{4x^3-5x^2+3x} \right) + \left( \color{orangered}{-2x^3-x^2+6x} \right) = 2x^3-6x^2+9x $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 4x^3 & -5x^2 & 3x \\ \color{blue}{ + } & -2x^3 & -x^2 & 6x \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 4x^3 & -5x^2 & 3x \\ \color{blue}{ + } & -2x^3 & -x^2 & 6x \\ \hline & 2x^3 & -6x^2 & 9x \end{array} $$This page was created using
Polynomial Operations Calculator