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

\[
-12x^3 + 4x^2 + 13x + 4
\]

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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.

Learn how to expand and simplify the expression (2x + 1)^2(4 - 3x) step-by-step. This problem covers important algebraic concepts such as polynomial expansion using the binomial theorem and the distributive property. Suitable for students in Grades 9-10.

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