Question: User: $5ab - 15ac + 10ad$
1. **State the problem:** Simplify the expression $5ab - 15ac + 10ad$ by factoring.
2. **Identify common factors:** Each term has a factor of $5a$.
3. **Factor out the common factor:**
$$5ab - 15ac + 10ad = 5a(b - 3c + 2d)$$
4. **Explanation:** We took out $5a$ from each term:
- $5ab$ becomes $5a \times b$
- $-15ac$ becomes $5a \times (-3c)$
- $10ad$ becomes $5a \times 2d$
5. **Final answer:**
$$5a(b - 3c + 2d)$$