Question
Subtract polynomials: $ \, \color{blue}{ -8n^4+n^3-n^2-n-2 } \, $ , $ \, \color{orangered}{ -2n^4+5n^3-6n^2 }$.
Answer
$$ \left( \color{blue}{-8n^4+n^3-n^2-n-2} \right) - \left( \color{orangered}{-2n^4+5n^3-6n^2} \right) = -6n^4-4n^3+5n^2-n-2 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrrr} & -8n^4 & n^3 & -n^2 & -n & -2 \\ \color{red}{ - } & -2n^4 & 5n^3 & -6n^2 & & \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrrrr} & -8n^4 & n^3 & -n^2 & -n & -2 \\ \color{red}{ - } & 2n^4 & -5n^3 & 6n^2 & & \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrrrr} & -8n^4 & n^3 & -n^2 & -n & -2 \\ \color{red}{ - } & 2n^4 & -5n^3 & 6n^2 & & \\ \hline & -10n^4 & 6n^3 & -7n^2 & -n & -2 \end{array} $$This page was created using
Polynomial Operations Calculator