Question: User: $(6a+5)(a-2)+(a-4)(a-4)$
1. **State the problem:** Simplify the expression $$(6a+5)(a-2)+(a-4)(a-4)$$.
2. **Use the distributive property (FOIL) to expand each product:**
$$(6a+5)(a-2) = 6a \cdot a + 6a \cdot (-2) + 5 \cdot a + 5 \cdot (-2) = 6a^2 - 12a + 5a - 10$$
$$(a-4)(a-4) = a \cdot a - a \cdot 4 - 4 \cdot a + 4 \cdot 4 = a^2 - 4a - 4a + 16 = a^2 - 8a + 16$$
3. **Combine the expanded expressions:**
$$6a^2 - 12a + 5a - 10 + a^2 - 8a + 16$$
4. **Group like terms:**
$$ (6a^2 + a^2) + (-12a + 5a - 8a) + (-10 + 16)$$
5. **Simplify each group:**
$$7a^2 + (-15a) + 6$$
6. **Final simplified expression:**
$$\boxed{7a^2 - 15a + 6}$$