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Factorise each of the following : (i) ...

Factorise each of the following :
(i) `8a^(3)+b^(3)+12a^(2)b+6ab^(2)`
(ii) `8a^(3)-b^(3)-12a^(2)b+6ab^(2)`
(iii) `27-125a^(3)-135a+225a^(2)`
(iv) `64a^(3)-27b^(3)-144a^(2)b+108ab^(2)`
(v) `27p^(3)-(1)/(216)-(9)/(2)p^(2)+(1)/(4)p`

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Factorize: 64a^(3)-27b^(3)-144a^(2)b+108ab^(2)

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