Question
Subtract polynomials: $ \, \color{blue}{ 8f^3+4f^2+f-7 } \, $ , $ \, \color{orangered}{ 8f^3+8f-6 }$.
Answer
$$ \left( \color{blue}{8f^3+4f^2+f-7} \right) - \left( \color{orangered}{8f^3+8f-6} \right) = 4f^2-7f-1 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrr} & 8f^3 & 4f^2 & f & -7 \\ \color{red}{ - } & 8f^3 & & 8f & -6 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrrr} & 8f^3 & 4f^2 & f & -7 \\ \color{red}{ - } & -8f^3 & & -8f & 6 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrrr} & 8f^3 & 4f^2 & f & -7 \\ \color{red}{ - } & -8f^3 & & -8f & 6 \\ \hline & 16f^3 & 4f^2 & 9f & -13 \end{array} $$This page was created using
Polynomial Operations Calculator