Question
Subtract polynomials: $ \, \color{blue}{ 6p^2-4p-9 } \, $ , $ \, \color{orangered}{ 5p^2+p-3 }$.
Answer
$$ \left( \color{blue}{6p^2-4p-9} \right) - \left( \color{orangered}{5p^2+p-3} \right) = p^2-5p-6 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 6p^2 & -4p & -9 \\ \color{red}{ - } & 5p^2 & p & -3 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & 6p^2 & -4p & -9 \\ \color{red}{ - } & -5p^2 & -p & 3 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 6p^2 & -4p & -9 \\ \color{red}{ - } & -5p^2 & -p & 3 \\ \hline & 11p^2 & -3p & -12 \end{array} $$This page was created using
Polynomial Operations Calculator