Question
Subtract polynomials: $ \, \color{blue}{ 6z^3+3z^2+5z+8 } \, $ , $ \, \color{orangered}{ 6z^3+3z^2+3z+6 }$.
Answer
$$ \left( \color{blue}{6z^3+3z^2+5z+8} \right) - \left( \color{orangered}{6z^3+3z^2+3z+6} \right) = 2z+2 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrr} & 6z^3 & 3z^2 & 5z & 8 \\ \color{red}{ - } & 6z^3 & 3z^2 & 3z & 6 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrrr} & 6z^3 & 3z^2 & 5z & 8 \\ \color{red}{ - } & -6z^3 & -3z^2 & -3z & -6 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrrr} & 6z^3 & 3z^2 & 5z & 8 \\ \color{red}{ - } & -6z^3 & -3z^2 & -3z & -6 \\ \hline & 12z^3 & 6z^2 & 8z & 14 \end{array} $$This page was created using
Polynomial Operations Calculator