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

Question

Factorise:
(x + 2)³ - (x - 2)³

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Answer

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

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