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