If a + b + 2c = 0, prove that a3 + b3 + 8c3=6abc
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a+b+2c=0
a+b= - 2c
cubing on both sides
(a+b)³=(-2c)³
a³+b³+3ab(a+b)= - 8c³
a³+b³+3ab(-2c)= - 8c³
a³+b³-6abc = -8c³
a³+b³+8c³=6abc (proved)
Answered by
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