https://file.aiquickdraw.com/mathbot/file/1725811903025d8fvzvfq.jpg

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?

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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.

Find the value of the expression ab + 8bc, given a = 0, b = -4, and c = 3.

Learn how to solve the algebraic expression ab + 8bc for a = 0, b = -4, and c = 3. This problem demonstrates basic algebraic substitution and simplification. Suitable for students in Grades 7-9.

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