Question
Add $ \, \color{blue}{ 20x^2+15x+13 } \, $ and $ \, \color{orangered}{ -19x^2+17x+5 }$.
Answer
$$ \left( \color{blue}{20x^2+15x+13} \right) + \left( \color{orangered}{-19x^2+17x+5} \right) = x^2+32x+18 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 20x^2 & 15x & 13 \\ \color{blue}{ + } & -19x^2 & 17x & 5 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 20x^2 & 15x & 13 \\ \color{blue}{ + } & -19x^2 & 17x & 5 \\ \hline & x^2 & 32x & 18 \end{array} $$This page was created using
Polynomial Operations Calculator