Add $ \, \color{blue}{ x^2+3x+5 } \, $ and $ \, \color{orangered}{ -x^2+6x-4 }$.
Answer
$$ \left( \color{blue}{x^2+3x+5} \right) + \left( \color{orangered}{-x^2+6x-4} \right) = 9x+1 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & x^2 & 3x & 5 \\ \color{blue}{ + } & -x^2 & 6x & -4 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & x^2 & 3x & 5 \\ \color{blue}{ + } & -x^2 & 6x & -4 \\ \hline & & 9x & 1 \end{array} $$This page was created using
Polynomial Operations Calculator