Question
Subtract polynomials: $ \, \color{blue}{ 10a^2+3a+25 } \, $ , $ \, \color{orangered}{ 9a^2-6a+5 }$.
Answer
$$ \left( \color{blue}{10a^2+3a+25} \right) - \left( \color{orangered}{9a^2-6a+5} \right) = a^2+9a+20 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 10a^2 & 3a & 25 \\ \color{red}{ - } & 9a^2 & -6a & 5 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & 10a^2 & 3a & 25 \\ \color{red}{ - } & -9a^2 & 6a & -5 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 10a^2 & 3a & 25 \\ \color{red}{ - } & -9a^2 & 6a & -5 \\ \hline & 19a^2 & -3a & 30 \end{array} $$This page was created using
Polynomial Operations Calculator