If p(√3 + cot 30°) = tan³ 60° - 2sin 60°, then find the value of p.

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Step 1: Calculate cot 30°
- cot 30° = √3

Step 2: Calculate tan 60°
- tan 60° = √3

Step 3: Calculate sin 60°
- sin 60° = √3/2

Step 4: Substitute values into the equation:
- p(√3 + cot 30°) = tan³ 60° - 2sin 60°
- p(√3 + √3) = (√3)³ - 2(√3/2)
- p(2√3) = (√3)³ - √3

Step 5: Calculate (√3)³
- (√3)³ = (√3) × (√3) × (√3) = 3√3

Step 6: Substitute back:
- p(2√3) = 3√3 - √3 = 2√3

Step 7: Solve for p:
- p = (2√3) / (2√3) = 1

Therefore, the value of p is 1.

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