d. $$ \frac{8}{m+5} \cdot m+5 $$

Question

UpStudy AI · Accepted Answer

It looks like you're working with the expression:

$$ d. \quad \frac{8}{m + 5} \cdot m + 5 $$

Let's simplify this step by step.

### Step 1: Multiply $$\frac{8}{m + 5}$$ by $$m$$

$$
\frac{8}{m + 5} \cdot m = \frac{8m}{m + 5}
$$

### Step 2: Add 5 to the result

$$
\frac{8m}{m + 5} + 5
$$

### Step 3: Combine into a Single Fraction

To combine the terms, express 5 as $$\frac{5(m + 5)}{m + 5}$$:

$$
\frac{8m}{m + 5} + \frac{5(m + 5)}{m + 5} = \frac{8m + 5(m + 5)}{m + 5}
$$

### Step 4: Distribute and Simplify the Numerator

$$
8m + 5(m + 5) = 8m + 5m + 25 = 13m + 25
$$

### Final Simplified Expression

$$
\frac{13m + 25}{m + 5}
$$

**So, the simplified form of the expression is:**

$$
\frac{13m + 25}{m + 5}
$$
The simplified expression is $$ \frac{13m + 25}{m + 5} $$.

d. \( \frac{8}{m+5} \cdot m+5 \)