Subtract polynomials: $ \, \color{blue}{ x^2+4x } \, $ , $ \, \color{orangered}{ 2x^2-5x+3 }$.
Answer
$$ \left( \color{blue}{x^2+4x} \right) - \left( \color{orangered}{2x^2-5x+3} \right) = -x^2+9x-3 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & x^2 & 4x & \\ \color{red}{ - } & 2x^2 & -5x & 3 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & x^2 & 4x & \\ \color{red}{ - } & -2x^2 & 5x & -3 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & x^2 & 4x & \\ \color{red}{ - } & -2x^2 & 5x & -3 \\ \hline & 3x^2 & -x & 3 \end{array} $$This page was created using
Polynomial Operations Calculator