(g) \( \frac{17 x^{6}-x^{6}}{2 x^{3}}-(2 x)^{2} \cdot 2 x \)

Let’s simplify the expression step-by-step: First, start with the expression: \[ \frac{17 x^{6}-x^{6}}{2 x^{3}} - (2 x)^{2} \cdot 2 x \] 1. Simplify the numerator of the fraction: \[ 17x^6 - x^6 = 16x^6 \] 2. Rewrite the expression: \[ \frac{16 x^{6}}{2 x^{3}} - (2 x)^{2} \cdot 2 x \] 3. Now simplify the fraction: \[ \frac{16 x^{6}}{2 x^{3}} = \frac{16}{2} \cdot \frac{x^{6}}{x^{3}} = 8 x^{3} \] 4. Now simplify \((2x)^{2} \cdot 2x\): \[ (2x)^{2} = 4x^{2} \Rightarrow 4x^{2} \cdot 2x = 8x^{3} \] 5. Therefore, the expression becomes: \[ 8x^3 - 8x^3 \] 6. This simplifies to: \[ 0 \] So, the simplified form of the original expression is: \[ \boxed{0} \]