Answer :

Given,


(a – 2b)3 – 512b3


= (a – 2b)3 – (8b)3


= (a – 2b – 8b) {(a – 2b)2 +(8b)2 +(a – 2b) 8b}


= (a – 10b) (a2 +4b2 – 4ab +64b2 +8ab – 16b2)


= (a – 10b) (a2 +52b2 +4ab)


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