The expanded and simplified form of the given expression $(2x + 1)^2 (4 - 3x)$ is:

$-12x^3 + 4x^2 + 13x + 4$

Would you like further details or have any questions?

Here are 5 related questions:

1. How would the expansion differ if the exponent were $(2x - 1)^2$?
2. Can you expand and simplify $(3x + 2)^2 (5 - 4x)$?
3. What method is used to expand binomials raised to a power?
4. How do you factor a cubic expression like $-12x^3 + 4x^2 + 13x + 4$?
5. Can you describe how the distributive property is applied to solve such problems?

Tip: Always expand powers first before applying the distributive property to simplify complex expressions.