Question
Subtract polynomials: $ \, \color{blue}{ 12x^2-25x-7 } \, $ , $ \, \color{orangered}{ 6x^2-32x+32 }$.
Answer
$$ \left( \color{blue}{12x^2-25x-7} \right) - \left( \color{orangered}{6x^2-32x+32} \right) = 6x^2+7x-39 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 12x^2 & -25x & -7 \\ \color{red}{ - } & 6x^2 & -32x & 32 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & 12x^2 & -25x & -7 \\ \color{red}{ - } & -6x^2 & 32x & -32 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 12x^2 & -25x & -7 \\ \color{red}{ - } & -6x^2 & 32x & -32 \\ \hline & 18x^2 & -57x & 25 \end{array} $$This page was created using
Polynomial Operations Calculator