Subtract polynomials: $ \, \color{blue}{ 3x^2-10x-2 } \, $ , $ \, \color{orangered}{ 6x+3 }$.
Answer
$$ \left( \color{blue}{3x^2-10x-2} \right) - \left( \color{orangered}{6x+3} \right) = 3x^2-16x-5 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 3x^2 & -10x & -2 \\ \color{red}{ - } & & 6x & 3 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & 3x^2 & -10x & -2 \\ \color{red}{ - } & & -6x & -3 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 3x^2 & -10x & -2 \\ \color{red}{ - } & & -6x & -3 \\ \hline & 3x^2 & -4x & 1 \end{array} $$This page was created using
Polynomial Operations Calculator