Subtract polynomials: $ \, \color{blue}{ 7x^3+9x } \, $ , $ \, \color{orangered}{ 3x^3+2 }$.
Answer
$$ \left( \color{blue}{7x^3+9x} \right) - \left( \color{orangered}{3x^3+2} \right) = 4x^3+9x-2 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 7x^3 & 9x & \\ \color{red}{ - } & 3x^3 & & 2 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & 7x^3 & 9x & \\ \color{red}{ - } & -3x^3 & & -2 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 7x^3 & 9x & \\ \color{red}{ - } & -3x^3 & & -2 \\ \hline & 10x^3 & 9x & 2 \end{array} $$This page was created using
Polynomial Operations Calculator