Let's simplify the given expression step by step:

Given expression:  
\[ 3s(s + 2) + (s + 2) \]

1. **Distribute \( 3s \) in the first term:**
   \[ 3s(s + 2) = 3s^2 + 6s \]

2. **Rewrite the expression after distribution:**
   \[ 3s^2 + 6s + (s + 2) \]

3. **Combine like terms:**
   \[ 3s^2 + 6s + s + 2 \]
   \[ 3s^2 + 7s + 2 \]

So, the simplified expression is:  
\[ 3s^2 + 7s + 2 \]

Would you like more details or have any questions?

Here are 5 related questions for further practice:
1. Simplify \( 4x(x + 3) + (x + 3) \).
2. Factor the expression \( 3s^2 + 7s + 2 \).
3. Expand and simplify \( (2s + 1)(s + 2) \).
4. Simplify \( 2t(t + 4) + 3(t + 4) \).
5. Combine like terms in \( 5m^2 + 3m - 2m^2 + 4m \).

**Tip:** When simplifying expressions, always distribute first, then combine like terms to reduce the expression to its simplest form.

Learn how to simplify the expression 3s(s + 2) + (s + 2) step-by-step with a detailed solution. This problem involves algebraic concepts such as polynomials, the distributive property, and combining like terms. Suitable for students in Grades 7-9.

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