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