Question
Subtract polynomials: $ \, \color{blue}{ 5x^2-6x+5 } \, $ , $ \, \color{orangered}{ 2x^2-12x+8 }$.
Answer
$$ \left( \color{blue}{5x^2-6x+5} \right) - \left( \color{orangered}{2x^2-12x+8} \right) = 3x^2+6x-3 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 5x^2 & -6x & 5 \\ \color{red}{ - } & 2x^2 & -12x & 8 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & 5x^2 & -6x & 5 \\ \color{red}{ - } & -2x^2 & 12x & -8 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 5x^2 & -6x & 5 \\ \color{red}{ - } & -2x^2 & 12x & -8 \\ \hline & 7x^2 & -18x & 13 \end{array} $$This page was created using
Polynomial Operations Calculator