Subtract polynomials: $ \, \color{blue}{ -5x^2+6x+6 } \, $ , $ \, \color{orangered}{ 6x^2-5 }$.
Answer
$$ \left( \color{blue}{-5x^2+6x+6} \right) - \left( \color{orangered}{6x^2-5} \right) = -11x^2+6x+11 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & -5x^2 & 6x & 6 \\ \color{red}{ - } & 6x^2 & & -5 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & -5x^2 & 6x & 6 \\ \color{red}{ - } & -6x^2 & & 5 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & -5x^2 & 6x & 6 \\ \color{red}{ - } & -6x^2 & & 5 \\ \hline & x^2 & 6x & 1 \end{array} $$This page was created using
Polynomial Operations Calculator