Question
Subtract polynomials: $ \, \color{blue}{ 9p^2-6 } \, $ , $ \, \color{orangered}{ -p+6 }$.
Answer
$$ \left( \color{blue}{9p^2-6} \right) - \left( \color{orangered}{-p+6} \right) = 9p^2+p-12 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 9p^2 & & -6 \\ \color{red}{ - } & & -p & 6 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & 9p^2 & & -6 \\ \color{red}{ - } & & p & -6 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 9p^2 & & -6 \\ \color{red}{ - } & & p & -6 \\ \hline & 9p^2 & -p & \end{array} $$This page was created using
Polynomial Operations Calculator