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)


8
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