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Factorise each of the following:
 
(i) \(8a^3 + b^3 + 12a^2b + 6ab^2=\)
 
(ii) \(8a^3 – b^3 – 12a^2b + 6ab^2=\)
 
(iii) \(27 – 125a^3 – 135a + 225a^2=\)
Answer variants:
\((3 + 5a) (3 + 5a) (3 – 5a)\)
\((2a – b) (2a – b) (2a – b)
\((2a + b) (2a + b) (2a + b)\)
\((2a + b) (2a -b) (2a - b)\)
\((3 – 5a) (3 – 5a) (3 – 5a)\)