Question
Add $ \, \color{blue}{ -4y^3-5y+16 } \, $ and $ \, \color{orangered}{ 4y^2-y+9 }$.
Answer
$$ \left( \color{blue}{-4y^3-5y+16} \right) + \left( \color{orangered}{4y^2-y+9} \right) = -4y^3+4y^2-6y+25 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrr} & -4y^3 & & -5y & 16 \\ \color{blue}{ + } & & 4y^2 & -y & 9 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrrr} & -4y^3 & & -5y & 16 \\ \color{blue}{ + } & & 4y^2 & -y & 9 \\ \hline & -4y^3 & 4y^2 & -6y & 25 \end{array} $$This page was created using
Polynomial Operations Calculator