Question
Subtract polynomials: $ \, \color{blue}{ b^2-3b-6 } \, $ , $ \, \color{orangered}{ b^2-8b-3 }$.
Answer
$$ \left( \color{blue}{b^2-3b-6} \right) - \left( \color{orangered}{b^2-8b-3} \right) = 5b-3 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & b^2 & -3b & -6 \\ \color{red}{ - } & b^2 & -8b & -3 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & b^2 & -3b & -6 \\ \color{red}{ - } & -b^2 & 8b & 3 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & b^2 & -3b & -6 \\ \color{red}{ - } & -b^2 & 8b & 3 \\ \hline & 2b^2 & -11b & -9 \end{array} $$This page was created using
Polynomial Operations Calculator