Let's solve the given expression with the provided values:

The expression is:

$ab + 8bc$

Where:

• $a = 0$
• $b = -4$
• $c = 3$

Substitute these values into the expression:

$ab + 8bc = (0)(-4) + 8(-4)(3)$

Now, calculate each term:

1. $ab = (0)(-4) = 0$
2. $8bc = 8(-4)(3) = 8(-12) = -96$

So the expression simplifies to:

$ab + 8bc = 0 - 96 = -96$

Therefore, the value of the expression is $-96$.

Would you like more details or have any questions?

Here are some related questions to deepen your understanding:

1. What happens to the expression if $a$ is non-zero but $b = 0$?
2. How does the expression change if $c$ is negative instead of positive?
3. Can you find the value of $ab + 8bc$ when all variables are equal to 1?
4. What would the result be if all the variables $a$, $b$, and $c$ were doubled?
5. How would the expression differ if we added another term, like $2ac$?

Tip: Always substitute the values into the expression before doing any calculations to avoid mistakes.