1. **State the problem:** Simplify the expression $$(2x + 1)(x - 2) - 3(x - 2)$$ and find which option it is equivalent to. 2. **Use the distributive property:** Expand each term. $$(2x + 1)(x - 2) = 2x \cdot x + 2x \cdot (-2) + 1 \cdot x + 1 \cdot (-2) = 2x^2 - 4x + x - 2 = 2x^2 - 3x - 2$$ and $$-3(x - 2) = -3x + 6$$ 3. **Combine the expanded expressions:** $$2x^2 - 3x - 2 - 3x + 6 = 2x^2 - 6x + 4$$ 4. **Final simplified expression:** $$2x^2 - 6x + 4$$ 5. **Match with the options:** This matches option B. **Answer:** B) $2x^2 - 6x + 4$