Question
Subtract polynomials: $ \, \color{blue}{ 7w^2+4w-6 } \, $ , $ \, \color{orangered}{ w^2-11w+13 }$.
Answer
$$ \left( \color{blue}{7w^2+4w-6} \right) - \left( \color{orangered}{w^2-11w+13} \right) = 6w^2+15w-19 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 7w^2 & 4w & -6 \\ \color{red}{ - } & w^2 & -11w & 13 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & 7w^2 & 4w & -6 \\ \color{red}{ - } & -w^2 & 11w & -13 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 7w^2 & 4w & -6 \\ \color{red}{ - } & -w^2 & 11w & -13 \\ \hline & 8w^2 & -7w & 7 \end{array} $$This page was created using
Polynomial Operations Calculator