Question
Subtract polynomials: $ \, \color{blue}{ 6g^3+2g^2-9 } \, $ , $ \, \color{orangered}{ 5g^3-7g^2-g+4 }$.
Answer
$$ \left( \color{blue}{6g^3+2g^2-9} \right) - \left( \color{orangered}{5g^3-7g^2-g+4} \right) = g^3+9g^2+g-13 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrr} & 6g^3 & 2g^2 & & -9 \\ \color{red}{ - } & 5g^3 & -7g^2 & -g & 4 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrrr} & 6g^3 & 2g^2 & & -9 \\ \color{red}{ - } & -5g^3 & 7g^2 & g & -4 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrrr} & 6g^3 & 2g^2 & & -9 \\ \color{red}{ - } & -5g^3 & 7g^2 & g & -4 \\ \hline & 11g^3 & -5g^2 & -g & -5 \end{array} $$This page was created using
Polynomial Operations Calculator