Question
Subtract polynomials: $ \, \color{blue}{ x^2+2x-9 } \, $ , $ \, \color{orangered}{ 8x-8 }$.
Answer
$$ \left( \color{blue}{x^2+2x-9} \right) - \left( \color{orangered}{8x-8} \right) = x^2-6x-1 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & x^2 & 2x & -9 \\ \color{red}{ - } & & 8x & -8 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & x^2 & 2x & -9 \\ \color{red}{ - } & & -8x & 8 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & x^2 & 2x & -9 \\ \color{red}{ - } & & -8x & 8 \\ \hline & x^2 & 10x & -17 \end{array} $$This page was created using
Polynomial Operations Calculator