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