Simplify Expression 65591D

1. **State the problem:** Simplify the expression $$3b + b(2 + b)$$. 2. **Recall the distributive property:** The distributive property states that $$a(b + c) = ab + ac$$. 3. **Apply the distributive property:** $$b(2 + b) = b \times 2 + b \times b = 2b + b^2$$ 4. **Rewrite the expression:** $$3b + 2b + b^2$$ 5. **Combine like terms:** $$3b + 2b = 5b$$ 6. **Final simplified expression:** $$5b + b^2$$ This means the original expression simplifies to $$5b + b^2$$.