Subtract polynomials: $ \, \color{blue}{ -2x^2+2 } \, $ , $ \, \color{orangered}{ -3x^2+10 }$.
Answer
$$ \left( \color{blue}{-2x^2+2} \right) - \left( \color{orangered}{-3x^2+10} \right) = x^2-8 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrr} & -2x^2 & 2 \\ \color{red}{ - } & -3x^2 & 10 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrr} & -2x^2 & 2 \\ \color{red}{ - } & 3x^2 & -10 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrr} & -2x^2 & 2 \\ \color{red}{ - } & 3x^2 & -10 \\ \hline & -5x^2 & 12 \end{array} $$This page was created using
Polynomial Operations Calculator