Subtract polynomials: $ \, \color{blue}{ -x^2-3x+3 } \, $ , $ \, \color{orangered}{ x^2-9x+6 }$.
Answer
$$ \left( \color{blue}{-x^2-3x+3} \right) - \left( \color{orangered}{x^2-9x+6} \right) = -2x^2+6x-3 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & -x^2 & -3x & 3 \\ \color{red}{ - } & x^2 & -9x & 6 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & -x^2 & -3x & 3 \\ \color{red}{ - } & -x^2 & 9x & -6 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & -x^2 & -3x & 3 \\ \color{red}{ - } & -x^2 & 9x & -6 \\ \hline & & -12x & 9 \end{array} $$This page was created using
Polynomial Operations Calculator