Question
Subtract polynomials: $ \, \color{blue}{ -10x^2+2x-10 } \, $ , $ \, \color{orangered}{ -10x^2+3 }$.
Answer
$$ \left( \color{blue}{-10x^2+2x-10} \right) - \left( \color{orangered}{-10x^2+3} \right) = 2x-13 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & -10x^2 & 2x & -10 \\ \color{red}{ - } & -10x^2 & & 3 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & -10x^2 & 2x & -10 \\ \color{red}{ - } & 10x^2 & & -3 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & -10x^2 & 2x & -10 \\ \color{red}{ - } & 10x^2 & & -3 \\ \hline & -20x^2 & 2x & -7 \end{array} $$This page was created using
Polynomial Operations Calculator