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Question -

(a – 3b)3 + (3b – c)3 + (c – a)3



Answer -

(a- 3b)3 + (3b – c)3 + (c – a)3
a – 3b+ 3b – c + c – a = 0
 (a – 3b)3 + (3b – c)3 + (c – a)3
= 3(a – 3b) (3b – c) (c – a)                      {
a3 + b3 + c3 =3abc if a + b + c = 0}

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