Question
Factorise:
(x + 2)3 + (x - 2)3

Answer

(x + 2)3 + (x - 2)3
= [(x + 2) + (x - 2)][(x + 2)2 - (x + 2)(x - 2) + (x - 2)2]
= (2x)(x2 + 4x + 4 - x2 + 4 + x2 - 4x + 4)
= 2x(x2 + 12)

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