Question
Subtract polynomials: $ \, \color{blue}{ 2x^3-13x^2-20x+175 } \, $ , $ \, \color{orangered}{ 2x^3+4x^2-60x-50 }$.
Answer
$$ \left( \color{blue}{2x^3-13x^2-20x+175} \right) - \left( \color{orangered}{2x^3+4x^2-60x-50} \right) = -17x^2+40x+225 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrr} & 2x^3 & -13x^2 & -20x & 175 \\ \color{red}{ - } & 2x^3 & 4x^2 & -60x & -50 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrrr} & 2x^3 & -13x^2 & -20x & 175 \\ \color{red}{ - } & -2x^3 & -4x^2 & 60x & 50 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrrr} & 2x^3 & -13x^2 & -20x & 175 \\ \color{red}{ - } & -2x^3 & -4x^2 & 60x & 50 \\ \hline & 4x^3 & -9x^2 & -80x & 125 \end{array} $$This page was created using
Polynomial Operations Calculator