Question
Subtract polynomials: $ \, \color{blue}{ 9x^2-6x+1 } \, $ , $ \, \color{orangered}{ x^2+12x+36 }$.
Answer
$$ \left( \color{blue}{9x^2-6x+1} \right) - \left( \color{orangered}{x^2+12x+36} \right) = 8x^2-18x-35 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 9x^2 & -6x & 1 \\ \color{red}{ - } & x^2 & 12x & 36 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & 9x^2 & -6x & 1 \\ \color{red}{ - } & -x^2 & -12x & -36 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 9x^2 & -6x & 1 \\ \color{red}{ - } & -x^2 & -12x & -36 \\ \hline & 10x^2 & 6x & 37 \end{array} $$This page was created using
Polynomial Operations Calculator