7 Expand and simplify $$ 5 x(3 x+4)(2 x-1) $$

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To expand and simplify the expression $$ 5x(3x + 4)(2x - 1) $$, follow these steps:

1. **First, expand the two binomials $$(3x + 4)$$ and $$(2x - 1)$$:**
   
   $$
   (3x + 4)(2x - 1) = 3x \cdot 2x + 3x \cdot (-1) + 4 \cdot 2x + 4 \cdot (-1)
   $$
   
   $$
   = 6x^2 - 3x + 8x - 4
   $$
   
   $$
   = 6x^2 + 5x - 4
   $$

2. **Next, multiply the result by $$5x$$:**
   
   $$
   5x \cdot (6x^2 + 5x - 4) = 5x \cdot 6x^2 + 5x \cdot 5x + 5x \cdot (-4)
   $$
   
   $$
   = 30x^3 + 25x^2 - 20x
   $$

3. **Combine like terms (if any) to simplify:**

In this case, there are no like terms to combine further.

**Final Expanded and Simplified Form:**

$$
30x^3 + 25x^2 - 20x
$$
$$ 30x^3 + 25x^2 - 20x $$

7 Expand and simplify \( 5 x(3 x+4)(2 x-1) \)

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