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