Add $ \, \color{blue}{ 4r^2+r^2 } \, $ and $ \, \color{orangered}{ 5r }$.
Answer
$$ \left( \color{blue}{4r^2+r^2} \right) + \color{orangered}{5r} = 5r^2+5r $$
Explanation
Step 1: First we have to write polynomials in descending order.
$$ \begin{aligned} P(x) &= 5r^2 \\ Q(x) &= 5r \\ \end{aligned} $$Step 2: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrr} & 5r^2 & \\ \color{blue}{ + } & & 5r \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrr} & 5r^2 & \\ \color{blue}{ + } & & 5r \\ \hline & 5r^2 & 5r \end{array} $$This page was created using
Polynomial Operations Calculator