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Factorize: 8a^3 + 27b^3 + 36a^2b + 54ab^2

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Factorize:

8a3 + 27b3 + 36a2b + 54ab2

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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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