Question
Subtract polynomials: $ \, \color{blue}{ p^2-5p+6 } \, $ , $ \, \color{orangered}{ -5p^2+9p }$.
Answer
$$ \left( \color{blue}{p^2-5p+6} \right) - \left( \color{orangered}{-5p^2+9p} \right) = 6p^2-14p+6 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & p^2 & -5p & 6 \\ \color{red}{ - } & -5p^2 & 9p & \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & p^2 & -5p & 6 \\ \color{red}{ - } & 5p^2 & -9p & \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & p^2 & -5p & 6 \\ \color{red}{ - } & 5p^2 & -9p & \\ \hline & -4p^2 & 4p & 6 \end{array} $$This page was created using
Polynomial Operations Calculator