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The product (x+y+z)[(x-y)^(2)+(y-z)^(2)+...

The product `(x+y+z)[(x-y)^(2)+(y-z)^(2)+(z-x)^(2)]` is equal to

A

`x^(3)+y^(3)+z^(3)-3xyz`

B

`x^(3)+y^(3)+z^(2)`

C

3xyz

D

`2[(x^(3)+y^(3)+z^(3))-3xyz]`

Text Solution

Verified by Experts

The correct Answer is:
D
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