If a + 2b + 3c = 0, then what is the value of (a3 + 8b3 + 27c3 )?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 18abc.
Given that
a + 2b + 3c = 0
If x + y + z = 0, then x3 + y3 + z3 = 3xyz
Hence,
a3 + 8b3 + 27c3 = a3 + (2b)3 + (3c)3 = 3(a)(2b)(3c) = 18abc
Hence, the value of the given expression is 18abc.