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