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

Answer

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

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

\[ (x-6)(x-4) = x^2 - 4x - 6x + 24 = x^2 - 10x + 24 \]

### Step 2: Multiply the result with the third factor
Now we take the result from Step 1, which is \((x^2 - 10x + 24)\), and multiply it by the third factor \((x-2)\).

\[ (x^2 - 10x + 24)(x - 2) \]

We will distribute each term in the first polynomial by each term in the second polynomial.

1. Multiply \(x^2\) by \((x - 2)\):
\[ x^2 \cdot x - x^2 \cdot 2 = x^3 - 2x^2 \]

2. Multiply \(-10x\) by \((x - 2)\):
\[ -10x \cdot x + 10x \cdot 2 = -10x^2 + 20x \]

3. Multiply \(24\) by \((x - 2)\):
\[ 24 \cdot x - 24 \cdot 2 = 24x - 48 \]

### Step 3: Combine all the terms
Now we combine all the terms obtained from the multiplication:

\[ x^3 - 2x^2 - 10x^2 + 20x + 24x - 48 \]

Combine like terms:

\[ x^3 + (-2x^2 - 10x^2) + (20x + 24x) - 48 = x^3 - 12x^2 + 44x - 48 \]

### Final Result
Thus, the simplified form of \((x-6)(x-4)(x-2)\) is:

\[ \boxed{x^3 - 12x^2 + 44x - 48} \]

---