If 8a3 + b3 + 27c3 = 18abc, then the relation among a, b and c is:
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Correct answer: D
Explanation
The correct answer is option 4 i.e. b + 3c = −2a.
Given, 8a3 + b3 + 27c3 = 18abc
When, a3 + b3 + c3 = 3abc, then a + b + c = 0.
Making the given expression in this form,
⇒ (2a)3 + b3 + (3c)3 = 3(2a)(b)(3c)
So, 2a + b + 3c = 0
⇒ b + 3c = -2a