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