Factorize a^3 + 8b^3 + 64c^3 – 24abc

Factorize the following expression : \( a^3 + 8b^3 + 64c^3 – 24abc \)

\[ a^3 + 8b^3 + 64c^3 – 24abc \] \[ = a^3 + (2b)^3 + (4c)^3 – 3(a)(2b)(4c) \] \[ = (a + 2b + 4c) \left( a^2 + 4b^2 + 16c^2 – 2ab – 8bc – 4ac \right) \]

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