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Question
Factorise the following:
64a3 – 27b3 – 144a2b + 108ab2
Solution
64a3 – 27b3 – 144a2b + 108ab2
= (4a)3 – (3b)3 – 3(4a) (3b) (4a – 3b)
= (4a – 3b)3 ...[Using a3 – b3 – 3ab(a – b) = (a – b)3]
= (4a – 3b)(4a – 3b)(4a – 3b)
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