Factorise : 8a3 - b3 - 12a2b + 6ab2 - Vidyadip

Question

Factorise : 8a³ - b³ - 12a²b + 6ab²

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Answer

8a³ - b³ - 12a²b + 6ab²
= (2a)³ - (b)³ + 3(2a)(b)(2a - b)
= (2a- b)³
(Using Identity (a – b)³= a³– b³– 3ab (a – b))
= (2a - b)(2a - b)(2a - b)

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