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Factorise each of the following: (i) 8a...

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

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