If (x – 4)(x2 + 4x + 42) = x3 - p, then p is equal to

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a³ – b³ = (a – b)(a² + ab + b²)
∴ (x – 4)(x² + 4x + 4²) = x³ - 4³ = x³ - 64
⇒ x³ - p = x³ - 64
⇒ p = 64