Factorize the following expression : \((x + 2)^3 + (x – 2)^3\)
\[
(x + 2)^3 + (x – 2)^3
\]
\[
= \left[(x + 2) + (x – 2)\right]
\left[(x + 2)^2 – (x + 2)(x – 2) + (x – 2)^2\right]
\]
\[
= (2x)
\left[(x^2 + 4x + 4) – (x^2 – 4) + (x^2 – 4x + 4)\right]
\]
\[
= 2x(x^2 + 12)
\]