Question
Subtract polynomials: $ \, \color{blue}{ 5x^2-8x+5 } \, $ , $ \, \color{orangered}{ 9x^2+8x-7 }$.
Answer
$$ \left( \color{blue}{5x^2-8x+5} \right) - \left( \color{orangered}{9x^2+8x-7} \right) = -4x^2-16x+12 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 5x^2 & -8x & 5 \\ \color{red}{ - } & 9x^2 & 8x & -7 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & 5x^2 & -8x & 5 \\ \color{red}{ - } & -9x^2 & -8x & 7 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 5x^2 & -8x & 5 \\ \color{red}{ - } & -9x^2 & -8x & 7 \\ \hline & 14x^2 & & -2 \end{array} $$This page was created using
Polynomial Operations Calculator