Subtract polynomials: $ \, \color{blue}{ -2x^2-10x } \, $ , $ \, \color{orangered}{ -x }$.
Answer
$$ \left( \color{blue}{-2x^2-10x} \right) - \left( \color{orangered}{-x} \right) = -2x^2-9x $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrr} & -2x^2 & -10x \\ \color{red}{ - } & & -x \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrr} & -2x^2 & -10x \\ \color{red}{ - } & & x \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrr} & -2x^2 & -10x \\ \color{red}{ - } & & x \\ \hline & -2x^2 & -11x \end{array} $$This page was created using
Polynomial Operations Calculator