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