Subtract polynomials: $ \, \color{blue}{ 2x^3-3 } \, $ , $ \, \color{orangered}{ x^2-15x }$.

$$ \left( \color{blue}{2x^3-3} \right) - \left( \color{orangered}{x^2-15x} \right) = 2x^3-x^2+15x-3 $$

Step 1: Write second polynomial below the first one. Making sure like terms are lined up.

$$ \begin{array}{lrrrr} & 2x^3 & & & -3 \\ \color{red}{ - } & & x^2 & -15x & \\ \hline \end{array} $$

Step 2: Change ALL the signs in the second row.

$$ \begin{array}{lrrrr} & 2x^3 & & & -3 \\ \color{red}{ - } & & -x^2 & 15x & \\ \hline \end{array} $$

Step 3: Combine like terms (add each column):

$$ \begin{array}{lrrrr} & 2x^3 & & & -3 \\ \color{red}{ - } & & -x^2 & 15x & \\ \hline & 2x^3 & x^2 & -15x & -3 \end{array} $$

Polynomial Operations Calculator