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