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