Factorize the Expression x³/216 – 8y³

Factorize the following expression : \(\frac{x^3}{216} – 8y^3\)

\[ \frac{x^3}{216} – 8y^3 \] \[ = \left(\frac{x}{6}\right)^3 – (2y)^3 \] \[ = \left(\frac{x}{6} – 2y\right) \left[\left(\frac{x}{6}\right)^2 + \left(\frac{x}{6}\right)(2y) + (2y)^2\right] \] \[ = \left(\frac{x}{6} – 2y\right) \left(\frac{x^2}{36} + \frac{xy}{3} + 4y^2\right) \]

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