Simplify : `(8(3)(x)^(2)(3))/(6x)`

Answer

To simplify the expression \((8(3)(x^2)(3))/(6x)\), we can follow these steps:

### Step 1: Write the expression clearly
We start with the expression:
\[ \frac{8 \cdot 3 \cdot x^2 \cdot 3}{6x} \]

### Step 2: Multiply the constants in the numerator
First, we can multiply the constants in the numerator:
\[ 8 \cdot 3 \cdot 3 = 72 \]
So, the expression becomes:
\[ \frac{72x^2}{6x} \]

### Step 3: Factor the numerator and denominator
Next, we can factor the numerator and denominator:
- The numerator \(72x^2\) can be factored as \(72 \cdot x \cdot x\).
- The denominator \(6x\) can be factored as \(6 \cdot x\).

Now we have:
\[ \frac{72 \cdot x \cdot x}{6 \cdot x} \]

### Step 4: Cancel out common factors
We can cancel out the common factors in the numerator and denominator:
- The \(x\) in the numerator and the \(x\) in the denominator cancel out.
- The \(72\) and \(6\) can be simplified as follows:
\[ \frac{72}{6} = 12 \]

So now we have:
\[ 12x \]

### Final Answer
Thus, the simplified expression is:
\[ 12x \]

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