Simplity: `(x+6) (x-4) (x-2)`

Answer

To simplify the expression \((x + 6)(x - 4)(x - 2)\), we can follow these steps:

### Step 1: Multiply the first two brackets
We start by multiplying the first two expressions, \((x + 6)\) and \((x - 4)\).

\[ (x + 6)(x - 4) = x^2 - 4x + 6x - 24 \]

Combining like terms, we get:

\[ x^2 + 2x - 24 \]

### Step 2: Multiply the result with the third bracket
Now, we take the result from Step 1, which is \((x^2 + 2x - 24)\), and multiply it by the third bracket \((x - 2)\).

\[ (x^2 + 2x - 24)(x - 2) \]

Distributing each term in the first bracket by each term in the second bracket:

1. \(x^2 \cdot x = x^3\)
2. \(x^2 \cdot (-2) = -2x^2\)
3. \(2x \cdot x = 2x^2\)
4. \(2x \cdot (-2) = -4x\)
5. \(-24 \cdot x = -24x\)
6. \(-24 \cdot (-2) = 48\)

Now, combining all these results:

\[ x^3 - 2x^2 + 2x^2 - 4x - 24x + 48 \]

### Step 3: Combine like terms
Now we can combine the like terms:

\[ x^3 + ( -2x^2 + 2x^2) + (-4x - 24x) + 48 \]

This simplifies to:

\[ x^3 + 0x^2 - 28x + 48 \]

Thus, the final simplified expression is:

\[ x^3 - 28x + 48 \]

### Final Answer:
\[ x^3 - 28x + 48 \]

---