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Question
(3x - 2 y)3 + (2 y - 4z )3 + (4z - 3x)3
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Solution
Let (3x - 2 y ) = a, (2 y - 4z ) = b, (4z - 3x) = c
∴ a + b + c = 3x - 2 y + 2 y - 4z + 4z - 3x = 0
∵ (3x - 2 y)3 + (2 y - 4z )3 + (4z - 3x)3
∴ (3x - 2 y)3 + (2 y - 4z )3 + (4z - 3x)3 = 3(3x - 2y)(2y - 4z )(4z - 3x)
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