Question
Factorise:
8 - 27b3 - 343c3 - 126bc

Answer

8 - 27b3 - 343c3 - 126bc
= (2)3 + (-3b)3 + (-7c)3 - 3 × (2) × (-3b) × (-7c)
= [2 + (-3b) + (-7c)[(2)2 + (-3b)2 + (-7c)2 - (2)(-3b) - (-3b)(-7c) - (2)(-7c)]
= (2 - 3b - 7c)(4 + 9b2 + 49c2 + 6b - 21bc + 14c)

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