If x + y + z is equal to zero prove that x cube + y cube + z cube is equal to 3 x y z
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Answer:
The proof is down
Step-by-step explanation:
We know that,
x cube+ y cube + z cube-3xyz=(x+y+z)(x square+ y square+ z square-xy-yz-xz)
=x cube +y cube +z cube -3xyz=0×....
=x cube+ y cube +z cube-3xyz=0
=x cube + y cube+ z cube=3xyz
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