Question
Add $ \, \color{blue}{ -2x^2+8x-8 } \, $ and $ \, \color{orangered}{ -2x^2+7x+7 }$.
Answer
$$ \left( \color{blue}{-2x^2+8x-8} \right) + \left( \color{orangered}{-2x^2+7x+7} \right) = -4x^2+15x-1 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & -2x^2 & 8x & -8 \\ \color{blue}{ + } & -2x^2 & 7x & 7 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & -2x^2 & 8x & -8 \\ \color{blue}{ + } & -2x^2 & 7x & 7 \\ \hline & -4x^2 & 15x & -1 \end{array} $$This page was created using
Polynomial Operations Calculator