Question
Add $ \, \color{blue}{ 7x^2-3x+10 } \, $ and $ \, \color{orangered}{ -4x^2+6x-4 }$.
Answer
$$ \left( \color{blue}{7x^2-3x+10} \right) + \left( \color{orangered}{-4x^2+6x-4} \right) = 3x^2+3x+6 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 7x^2 & -3x & 10 \\ \color{blue}{ + } & -4x^2 & 6x & -4 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 7x^2 & -3x & 10 \\ \color{blue}{ + } & -4x^2 & 6x & -4 \\ \hline & 3x^2 & 3x & 6 \end{array} $$This page was created using
Polynomial Operations Calculator