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Factorize: 64 a^3-27 b^3-144 a^2b+108 a ...

Factorize: `64 a^3-27 b^3-144 a^2b+108 a b^2`

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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