Q12 of 32 Page 2

Factorize: 64a3 – 27b3 – 144a2b + 108ab2.

Concept Used:


(a – b)3 = a3 – b3 – 3a2b + 3ab2


Explanation:


64a3 – 27b3 – 144a2b + 108ab2


= (4a)3 – (3b)3 – 3 (4a)2 (3b) + 3 (4a) (3b)2


= (4a – 3b)3


= (4a – 3b) (4a – 3b) (4a – 3b)


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