Question
Subtract polynomials: $ \, \color{blue}{ 9a^6+3a^5 } \, $ , $ \, \color{orangered}{ 4a^4-3a^2+9 }$.
Answer
$$ \left( \color{blue}{9a^6+3a^5} \right) - \left( \color{orangered}{4a^4-3a^2+9} \right) = 9a^6+3a^5-4a^4+3a^2-9 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrrr} & 9a^6 & 3a^5 & & & \\ \color{red}{ - } & & & 4a^4 & -3a^2 & 9 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrrrr} & 9a^6 & 3a^5 & & & \\ \color{red}{ - } & & & -4a^4 & 3a^2 & -9 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrrrr} & 9a^6 & 3a^5 & & & \\ \color{red}{ - } & & & -4a^4 & 3a^2 & -9 \\ \hline & 9a^6 & 3a^5 & 4a^4 & -3a^2 & 9 \end{array} $$This page was created using
Polynomial Operations Calculator