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

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