The expression \( 4x \cdot (x - 3) \) can be simplified by distributing \( 4x \) to both terms inside the parentheses.

### Step-by-step:

\[
4x \cdot (x - 3) = 4x \cdot x - 4x \cdot 3
\]

This results in:

\[
4x^2 - 12x
\]

So, the simplified expression is:

\[
4x^2 - 12x
\]

Would you like to explore further details or ask about any specific part?

Here are 5 related questions to deepen your understanding:
1. How do you factor expressions like \(4x^2 - 12x\)?
2. What happens if we solve \( 4x \cdot (x - 3) = 0 \)?
3. How does distribution work in more complex polynomial expressions?
4. What if the expression was \(4x \cdot (x^2 - 3)\)?
5. Can you apply the distributive property in reverse?

**Tip:** Always remember that distribution means multiplying each term inside parentheses by the term outside!

Discover how to simplify the polynomial expression 4x(x - 3) by using the distributive property. This step-by-step explanation helps students understand the process of distributing and combining terms, making it suitable for Grades 7-9 algebra students.

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