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The product of the two functions \( u(x) = 4x^2 - 9 \) and \( v(x) = x^3 - 1 \) is:

\[
u(x) \cdot v(x) = 4x^5 - 9x^3 - 4x^2 + 9
\]

Would you like further details or clarifications on any step? Here are some related questions to expand on this concept:

1. How do you factor polynomials like these?
2. What is the distributive property, and how was it used here?
3. How would you differentiate the product \( u(x) \cdot v(x) \)?
4. Can this expression be simplified further or factored?
5. What happens if we substitute a specific value for \( x \) in \( u(x) \cdot v(x) \)?

**Tip:** When multiplying polynomials, always distribute each term carefully to ensure all products are accounted for!

If u(x) = 4x^2 - 9 and v(x) = x^3 - 1, find u(x) · v(x).

Learn how to multiply two polynomials, u(x) = 4x^2 - 9 and v(x) = x^3 - 1, step-by-step using the distributive property. This problem covers key algebraic concepts in polynomial multiplication. Suitable for students in Grades 10-12.

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