Question
Subtract polynomials: $ \, \color{blue}{ 3c^2+5c-8 } \, $ , $ \, \color{orangered}{ c^2-5c+5 }$.
Answer
$$ \left( \color{blue}{3c^2+5c-8} \right) - \left( \color{orangered}{c^2-5c+5} \right) = 2c^2+10c-13 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 3c^2 & 5c & -8 \\ \color{red}{ - } & c^2 & -5c & 5 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & 3c^2 & 5c & -8 \\ \color{red}{ - } & -c^2 & 5c & -5 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 3c^2 & 5c & -8 \\ \color{red}{ - } & -c^2 & 5c & -5 \\ \hline & 4c^2 & & -3 \end{array} $$This page was created using
Polynomial Operations Calculator