Factorize : \( a^3 – 3a^2b + 3ab^2 – b^3 + 8 \)

\[ a^3 – 3a^2b + 3ab^2 – b^3 + 8 \] \[ = (a – b)^3 + 2^3 \] \[ = (a – b + 2) \left[(a – b)^2 – 2(a – b) + 4\right] \] \[ = (a – b + 2) \left[a^2 – 2ab + b^2 – 2a + 2b + 4\right] \]