Factorize the Expression (x + 2)³ + (x – 2)³

Factorize the following expression : \((x + 2)^3 + (x – 2)^3\)

\[ (x + 2)^3 + (x – 2)^3 \] \[ = \left[(x + 2) + (x – 2)\right] \left[(x + 2)^2 – (x + 2)(x – 2) + (x – 2)^2\right] \] \[ = (2x) \left[(x^2 + 4x + 4) – (x^2 – 4) + (x^2 – 4x + 4)\right] \] \[ = 2x(x^2 + 12) \]

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