Factorize x^3 – 12x(x – 4) – 64

Factorize : \( x^3 – 12x(x – 4) – 64 \)

\[ x^3 – 12x(x – 4) – 64 \] \[ = x^3 – 12x^2 + 48x – 64 \] \[ = x^3 – 3x^2(4) + 3x(4)^2 – 4^3 \] \[ = (x – 4)^3 \]

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