To simplify the expression $2x^2(3 - 4x)^4$, we can expand it step-by-step:

1. Start by identifying the two main factors: $2x^2$ and $(3 - 4x)^4$.

2. We can’t directly expand $(3 - 4x)^4$ without using the binomial theorem, but for now, we leave it in its expanded form. However, you can distribute $2x^2$ over the expression after expanding $(3 - 4x)^4$, if required.

Thus, the expression remains as: $2x^2(3 - 4x)^4$

Do you want to expand it using the binomial theorem? Let me know if you'd like further details or if you have questions!

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Here are 5 related questions for practice:

1. How do you expand $(a - b)^n$ using the binomial theorem?
2. What is the derivative of $2x^2(3 - 4x)^4$?
3. How would you factor $(3 - 4x)^4$ if it was part of a larger equation?
4. Can you solve $2x^2(3 - 4x)^4 = 0$ for $x$?
5. How does the power rule apply when differentiating polynomials?

Tip: When expanding powers of binomials, use the binomial theorem to simplify calculations for higher powers efficiently.