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