Factorize:

8a3-27b3-36a2b+54ab2


Given,


8a3 - 27b3 - 36a2b+54ab2,


= (2a)3 - (3b)3 - 18ab (2a - 3b)


= (2a)3 - (3b)3 - 3×2a×3b (2a – 3b)


= (2a - 3b)3


= (2a - 3b) (2a - 3b) (2a - 3b)


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