Question

Simplify each expression. If not possible, write simplified.

$\mathbf{13}\mathit{r}\mathbf{+}\mathbf{5}\mathit{r}$

Short answer

The simplified expression of $13r+5r$is 18r.

Step-by-step solution

Step 1. Identify the like terms.

Like terms are the terms having the same variables with the same power.

The given expression has ras like terms.

Step 2. Combine the like terms.

Use the distributive property,$\left(a\pm b\right)c=a\times c\pm b\times c$.

So, the expression can be rewritten as follows:

$13r+5r=\left(13+5\right)r$

Step 3. Simplify the expression.

A simplified expression does not contain any like terms or parentheses.

$\begin{array}{l}13r+5r=\left(13+5\right)r\left[Add\right]\\ =18r\end{array}$