Question
Subtract polynomials: $ \, \color{blue}{ -3n^3+n^2 } \, $ , $ \, \color{orangered}{ 10n+9 }$.
Answer
$$ \left( \color{blue}{-3n^3+n^2} \right) - \left( \color{orangered}{10n+9} \right) = -3n^3+n^2-10n-9 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrr} & -3n^3 & n^2 & & \\ \color{red}{ - } & & & 10n & 9 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrrr} & -3n^3 & n^2 & & \\ \color{red}{ - } & & & -10n & -9 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrrr} & -3n^3 & n^2 & & \\ \color{red}{ - } & & & -10n & -9 \\ \hline & -3n^3 & n^2 & 10n & 9 \end{array} $$This page was created using
Polynomial Operations Calculator