Subtract polynomials: $ \, \color{blue}{ 2x^3-2x-3 } \, $ , $ \, \color{orangered}{ 2x+5 }$.
Answer
$$ \left( \color{blue}{2x^3-2x-3} \right) - \left( \color{orangered}{2x+5} \right) = 2x^3-4x-8 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 2x^3 & -2x & -3 \\ \color{red}{ - } & & 2x & 5 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & 2x^3 & -2x & -3 \\ \color{red}{ - } & & -2x & -5 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 2x^3 & -2x & -3 \\ \color{red}{ - } & & -2x & -5 \\ \hline & 2x^3 & & 2 \end{array} $$This page was created using
Polynomial Operations Calculator