Subtract polynomials: $ \, \color{blue}{ x^2+2 } \, $ , $ \, \color{orangered}{ x-22 }$.
Answer
$$ \left( \color{blue}{x^2+2} \right) - \left( \color{orangered}{x-22} \right) = x^2-x+24 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & x^2 & & 2 \\ \color{red}{ - } & & x & -22 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & x^2 & & 2 \\ \color{red}{ - } & & -x & 22 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & x^2 & & 2 \\ \color{red}{ - } & & -x & 22 \\ \hline & x^2 & x & -20 \end{array} $$This page was created using
Polynomial Operations Calculator