Question
Subtract polynomials: $ \, \color{blue}{ 8x^3+8x+8 } \, $ , $ \, \color{orangered}{ 7x+8 }$.
Answer
$$ \left( \color{blue}{8x^3+8x+8} \right) - \left( \color{orangered}{7x+8} \right) = 8x^3+x $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 8x^3 & 8x & 8 \\ \color{red}{ - } & & 7x & 8 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & 8x^3 & 8x & 8 \\ \color{red}{ - } & & -7x & -8 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 8x^3 & 8x & 8 \\ \color{red}{ - } & & -7x & -8 \\ \hline & 8x^3 & 15x & 16 \end{array} $$This page was created using
Polynomial Operations Calculator