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Question
Factorise the following:
8a3 – b3 – 12a2b + 6ab2
Solution
8a3 – b3 − 12a2b + 6ab2
= (2a)3 – b3 – 3(2a)(b)(2a – b)
= (2a – b)3 ...[Using a3 − b3 − 3ab(a − b) = (a − b)3]
= (2a – b)(2a – b)(2a – b)
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