Answer :

Given,



Multiplying both side by ‘a’



a2 + 9 = 3a


a2 – 3a + 9 = 0


Now,


a3 + 27


= a3 + 33


Using x3 + y3 = (x + y) (x2 – xy + y2)


= (a + 3) (a2 – 3a + 32)


= (a + 3) (a2 – 3a + 9)


= (a + 3) × 0


= 0


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