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