Let's simplify the given expression:

$-8(3u^2 - 4u)$

First, distribute the $-8$ to both terms inside the parentheses:

$-8 \cdot 3u^2 = -24u^2$ $-8 \cdot -4u = 32u$

So the simplified expression is:

$-24u^2 + 32u$

Would you like further details or have any questions?

Related Questions:

1. How do you factor the expression $-24u^2 + 32u$?
2. What is the derivative of $-24u^2 + 32u$?
3. How would you evaluate $-24u^2 + 32u$ for a specific value of $u$?
4. Can you solve for $u$ in the equation $-24u^2 + 32u = 0$?
5. What happens when you integrate the expression $-24u^2 + 32u$?

Tip:

When distributing a constant over terms in parentheses, remember to multiply each term separately by the constant, keeping track of signs!