Question
Subtract polynomials: $ \, \color{blue}{ 5y^4+3y^3-6y^2+14 } \, $ , $ \, \color{orangered}{ -y^4+y^2-7y-1 }$.
Answer
$$ \left( \color{blue}{5y^4+3y^3-6y^2+14} \right) - \left( \color{orangered}{-y^4+y^2-7y-1} \right) = 6y^4+3y^3-7y^2+7y+15 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrrr} & 5y^4 & 3y^3 & -6y^2 & & 14 \\ \color{red}{ - } & -y^4 & & y^2 & -7y & -1 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrrrr} & 5y^4 & 3y^3 & -6y^2 & & 14 \\ \color{red}{ - } & y^4 & & -y^2 & 7y & 1 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrrrr} & 5y^4 & 3y^3 & -6y^2 & & 14 \\ \color{red}{ - } & y^4 & & -y^2 & 7y & 1 \\ \hline & 4y^4 & 3y^3 & -5y^2 & -7y & 13 \end{array} $$This page was created using
Polynomial Operations Calculator