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