if a + 2 b + 3 C is equal to zero prove that a^ 3 + 8b^3 + 27c^3 equal to 18 ABC
Answers
Answered by
3
we know,
a + b + c = 0
then
a³ + b³ + c³ = 3abc
use this here
=============
a + (2b) +(3c) =0
so , a³ +(2b)³ + (3c)³ = 3a(2b)(3c) = 18abc
a³ +8b³ +27c³ = 18abc
a + b + c = 0
then
a³ + b³ + c³ = 3abc
use this here
=============
a + (2b) +(3c) =0
so , a³ +(2b)³ + (3c)³ = 3a(2b)(3c) = 18abc
a³ +8b³ +27c³ = 18abc
Similar questions