Question
Subtract polynomials: $ \, \color{blue}{ 6a^3-2a^2+4 } \, $ , $ \, \color{orangered}{ 5a^3-4a+7 }$.
Answer
$$ \left( \color{blue}{6a^3-2a^2+4} \right) - \left( \color{orangered}{5a^3-4a+7} \right) = a^3-2a^2+4a-3 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrr} & 6a^3 & -2a^2 & & 4 \\ \color{red}{ - } & 5a^3 & & -4a & 7 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrrr} & 6a^3 & -2a^2 & & 4 \\ \color{red}{ - } & -5a^3 & & 4a & -7 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrrr} & 6a^3 & -2a^2 & & 4 \\ \color{red}{ - } & -5a^3 & & 4a & -7 \\ \hline & 11a^3 & -2a^2 & -4a & 11 \end{array} $$This page was created using
Polynomial Operations Calculator