Question
Subtract polynomials: $ \, \color{blue}{ 30x^2+15x-20 } \, $ , $ \, \color{orangered}{ 10x+5 }$.
Answer
$$ \left( \color{blue}{30x^2+15x-20} \right) - \left( \color{orangered}{10x+5} \right) = 30x^2+5x-25 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 30x^2 & 15x & -20 \\ \color{red}{ - } & & 10x & 5 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & 30x^2 & 15x & -20 \\ \color{red}{ - } & & -10x & -5 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 30x^2 & 15x & -20 \\ \color{red}{ - } & & -10x & -5 \\ \hline & 30x^2 & 25x & -15 \end{array} $$This page was created using
Polynomial Operations Calculator