Question

Verify that :
x^3 + y^3 + z^3 - 3xyz = 1/2 (x + y + z) [(x-y)^2 + (y-z)^2 + (z-x)^2]

Answer 1

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Answer 2

Answer:

x 3 + y 3 + z 3 − 3xyz

= (x + y + z)(x 2 + y 2 + z 2 − xy − yz − zx)

= 1 /2

(x + y + z)(2x 2 + 2y 2 + 2z 2 − 2xy − 2yz − 2zx)

= 1/ 2

(x − y)2 + (y − z)2 + (z − x)2

Step-by-step explanation: