Subtract polynomials: $ \, \color{blue}{ 6x^2-4x+18 } \, $ , $ \, \color{orangered}{ 2x^2-9x+3 }$.
Answer
$$ \left( \color{blue}{6x^2-4x+18} \right) - \left( \color{orangered}{2x^2-9x+3} \right) = 4x^2+5x+15 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 6x^2 & -4x & 18 \\ \color{red}{ - } & 2x^2 & -9x & 3 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & 6x^2 & -4x & 18 \\ \color{red}{ - } & -2x^2 & 9x & -3 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 6x^2 & -4x & 18 \\ \color{red}{ - } & -2x^2 & 9x & -3 \\ \hline & 8x^2 & -13x & 21 \end{array} $$This page was created using
Polynomial Operations Calculator