Factorise :
`(i) 9a^(3)-27b^(3) " " (ii) a^(3)-343 " " (iii) a^(3)-(27)/(a^(3)) " " (iv) 1+8a^(3) " " (v) (a+b)^(3)-(a-b)^(3)`.

Answer

`(i) (2a-3b)(4a^(2)+9b^(2)+6ab) " " (ii) (a-7)(a^(2)+49-7a) " "(iii) (a-(3)/(a))(a^(2)+(9)/(a^(2))+3)`
`(iv) (1+2a)(1+4a^(2)-2a) " " (v) 2b(3a^(2)+b^(2))`