Question:
Factorise
$(x+2)^{3}+(x-2)^{3}$
Solution:
$(x+2)^{3}+(x-2)^{3}$
$=(x+2+x-2)\left[(x+2)^{2}+(x-2)^{2}-\left(x^{2}-4\right)\right]$
$=2 x\left(x^{2}+4+4 x+x^{2}+4-4 x-x^{2}+4\right)$
$=2 x\left(x^{2}+12\right)$
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