Use the distributive property to remove the parentheses.
Simplify your answer as much as possible.
3/2(8u-4)

To apply the distributive property, you need to multiply the term outside the parentheses by each term inside the parentheses. Let's solve it step by step.

Given expression:

\[
\frac{3}{2}(8u - 4)
\]

1. Multiply \(\frac{3}{2}\) by \(8u\):

\[
\frac{3}{2} \times 8u = \frac{3 \times 8u}{2} = \frac{24u}{2} = 12u
\]

2. Multiply \(\frac{3}{2}\) by \(-4\):

\[
\frac{3}{2} \times (-4) = \frac{3 \times (-4)}{2} = \frac{-12}{2} = -6
\]

So, the simplified expression is:

\[
12u - 6
\]

Would you like more details or have any questions?

Here are five related questions to explore further:
1. How do you apply the distributive property when dealing with fractions?
2. What happens if both terms inside the parentheses are negative?
3. Can you factor out the greatest common factor from the simplified expression \(12u - 6\)?
4. How does the distributive property differ from the associative property in math?
5. What if the fraction outside the parentheses was more complex, like \(\frac{3}{5}\)?

**Tip:** Always simplify each term individually after applying the distributive property for accuracy!

Use the distributive property to remove the parentheses. Simplify your answer as much as possible. 3/2(8u-4)

Learn how to apply the distributive property to simplify the expression 3/2(8u - 4). This solution covers key algebra concepts, including multiplying fractions and simplifying expressions. Suitable for students in Grades 6-8.

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