Question
Subtract polynomials: $ \, \color{blue}{ -2x^2-x+3 } \, $ , $ \, \color{orangered}{ -5x^2-10x+10 }$.
Answer
$$ \left( \color{blue}{-2x^2-x+3} \right) - \left( \color{orangered}{-5x^2-10x+10} \right) = 3x^2+9x-7 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & -2x^2 & -x & 3 \\ \color{red}{ - } & -5x^2 & -10x & 10 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & -2x^2 & -x & 3 \\ \color{red}{ - } & 5x^2 & 10x & -10 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & -2x^2 & -x & 3 \\ \color{red}{ - } & 5x^2 & 10x & -10 \\ \hline & -7x^2 & -11x & 13 \end{array} $$This page was created using
Polynomial Operations Calculator