Question
Subtract polynomials: $ \, \color{blue}{ 8w^2+7w+9 } \, $ , $ \, \color{orangered}{ 4w^2+6 }$.
Answer
$$ \left( \color{blue}{8w^2+7w+9} \right) - \left( \color{orangered}{4w^2+6} \right) = 4w^2+7w+3 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 8w^2 & 7w & 9 \\ \color{red}{ - } & 4w^2 & & 6 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & 8w^2 & 7w & 9 \\ \color{red}{ - } & -4w^2 & & -6 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 8w^2 & 7w & 9 \\ \color{red}{ - } & -4w^2 & & -6 \\ \hline & 12w^2 & 7w & 15 \end{array} $$This page was created using
Polynomial Operations Calculator