Question
Subtract polynomials: $ \, \color{blue}{ 8y^2-5y+7 } \, $ , $ \, \color{orangered}{ 2y^2+7y+11 }$.
Answer
$$ \left( \color{blue}{8y^2-5y+7} \right) - \left( \color{orangered}{2y^2+7y+11} \right) = 6y^2-12y-4 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 8y^2 & -5y & 7 \\ \color{red}{ - } & 2y^2 & 7y & 11 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & 8y^2 & -5y & 7 \\ \color{red}{ - } & -2y^2 & -7y & -11 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 8y^2 & -5y & 7 \\ \color{red}{ - } & -2y^2 & -7y & -11 \\ \hline & 10y^2 & 2y & 18 \end{array} $$This page was created using
Polynomial Operations Calculator