Question
Subtract polynomials: $ \, \color{blue}{ 2x^2+8x+4 } \, $ , $ \, \color{orangered}{ 8x^2-8x }$.
Answer
$$ \left( \color{blue}{2x^2+8x+4} \right) - \left( \color{orangered}{8x^2-8x} \right) = -6x^2+16x+4 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 2x^2 & 8x & 4 \\ \color{red}{ - } & 8x^2 & -8x & \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & 2x^2 & 8x & 4 \\ \color{red}{ - } & -8x^2 & 8x & \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 2x^2 & 8x & 4 \\ \color{red}{ - } & -8x^2 & 8x & \\ \hline & 10x^2 & & 4 \end{array} $$This page was created using
Polynomial Operations Calculator