Great! I’ve been making significant progress in solving these polynomial expansion problems. Let's expand the expression:
$$(n+6)(n+1)$$
We can expand the expression using the distributive property.
Steps to solve:
**1. Distribute the first term:**
$$n(n+1)+6(n+1)$$
**2. Distribute the second term:**
$$n^{2}+n+6(n+1)$$
**3. Distribute the third term:**
$$n^{2}+n+6n+6$$
**4. Combine like terms:**
$$n^{2}+7n+6$$
**Answer:**
$$n^{2}+7n+6$$