Factorize the following expression : \((a – 2b)^3 – 512b^3\)

\[ (a – 2b)^3 – 512b^3 \] \[ = (a – 2b)^3 – (8b)^3 \] \[ = \left[(a – 2b) – 8b\right] \left[(a – 2b)^2 + 8b(a – 2b) + (8b)^2\right] \] \[ = (a – 10b) \left[a^2 – 4ab + 4b^2 + 8ab – 16b^2 + 64b^2\right] \] \[ = (a – 10b)(a^2 + 4ab + 52b^2) \]