Pls solve the (b) part...

Dear Student,
$w e k n o w t h a t x^{3} + y^{3} + z^{3} - 3 x y z = (x + y + z) (x^{2} + y^{2} + z^{2} - x y - y z - z x) w e w r i t t e n a s g i v e n e q u a t i o n . 8 a^{3} + 27 b^{3} + c^{3} = {(2 a)}^{3} + {(3 b)}^{3} + {(c)}^{3} n o w, a p p l y f o r m u l a {(2 a)}^{3} + {(3 b)}^{3} + {(c)}^{3} - 3 (2 a) (3 b) (c) = (2 a + 3 b + c) ({(2 a)}^{2} + {(3 b)}^{2} + c^{2} - (6 a b) - (3 b c) - (2 c a)) G i v e n (2 a + 3 b + c) = 0 t h e n {(2 a)}^{3} + {(3 b)}^{3} + {(c)}^{3} - 3 (2 a) (3 b) (c) = 0 {(2 a)}^{3} + {(3 b)}^{3} + {(c)}^{3} = 3 (2 a) (3 b) (c) 8 a^{3} + 27 b^{3} + c^{3} = 18 a b c$
Regards

-1

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