Subtract polynomials: $ \, \color{blue}{ 9x^2+7x+8 } \, $ , $ \, \color{orangered}{ 5x^2-10x-7 }$.
Answer
$$ \left( \color{blue}{9x^2+7x+8} \right) - \left( \color{orangered}{5x^2-10x-7} \right) = 4x^2+17x+15 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 9x^2 & 7x & 8 \\ \color{red}{ - } & 5x^2 & -10x & -7 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & 9x^2 & 7x & 8 \\ \color{red}{ - } & -5x^2 & 10x & 7 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 9x^2 & 7x & 8 \\ \color{red}{ - } & -5x^2 & 10x & 7 \\ \hline & 14x^2 & -3x & 1 \end{array} $$This page was created using
Polynomial Operations Calculator