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

Question

UpStudy AI · Accepted Answer

To simplify the expression:

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

**Step-by-Step Simplification:**

1. **Identify Common Factors:**
   - The term $$(m+5)$$ appears in both the numerator and the denominator.

2. **Cancel Out the Common Factors:**
   - $$\frac{8}{\cancel{m+5}} \cdot \cancel{(m+5)}$$

3. **Simplify the Expression:**
   - After canceling, you're left with $$8$$.

**Final Simplified Form:**

$$
8
$$

**Note:** This simplification is valid as long as $$m + 5 \neq 0$$ (i.e., $$m \neq -5$$) to avoid division by zero.
The expression simplifies to 8.

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