Factorise: (x+1)^3+(x-1)^3 - Vidyadip

Question

Factorise:
$(x+1)^3+(x-1)^3$

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Answer

$(x+1)^3+(x-1)^3$
$=(x+1+x-1)\left[(x+1)^2-(x+1)(x-1)+(x-1)^2\right]$
$=2 x\left(x^2+2 x+1-x^2+1+x^2-2 x+1\right)$
$=2 x\left(x^2+3\right)$

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