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Question -

(2x – 3y)3 + (4z – 2x)3  + (3y – 4z)3



Answer -

(2x – 3y)3 + (4z – 2x)3 + (3y –4z)3
 2x – 3y + 4z – 2x + 3y – 4z = 0
(2x –3y)3 + (4z – 2x)3 + (3y – 4z)3
= (2x – 3y) (4z – 2x) (3y – 4z)               {
x3 +y3 + z3 = 3xyz if x + y + z = 0}

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