Question

Factorise
(x +2)³ + (x – 2)³

Answer 1

(x +2)³ + (x – 2)^{3
$$\begin{gathered} =\left(x+2+x-2\right)\left[{\left(x+2\right)}^2+{\left(x-2\right)}^2-\left(x^2-4\right)\right] \\ =2x\left(x^2+4+4x+x^2+4-4x-x^2+4\right) \\ =2x\left(x^2+12\right) \end{gathered}$$}