Question
Subtract polynomials: $ \, \color{blue}{ 3m^2+2m+7 } \, $ , $ \, \color{orangered}{ 2m^2+7 }$.
Answer
$$ \left( \color{blue}{3m^2+2m+7} \right) - \left( \color{orangered}{2m^2+7} \right) = m^2+2m $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 3m^2 & 2m & 7 \\ \color{red}{ - } & 2m^2 & & 7 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & 3m^2 & 2m & 7 \\ \color{red}{ - } & -2m^2 & & -7 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 3m^2 & 2m & 7 \\ \color{red}{ - } & -2m^2 & & -7 \\ \hline & 5m^2 & 2m & 14 \end{array} $$This page was created using
Polynomial Operations Calculator