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The value of ((x-y)^3+(y-z)^3+(z-x)^3...

The value of `((x-y)^3+(y-z)^3+(z-x)^3)/(9(x-y)(y-z)(z-x))` is equal to (a) 0 (b) `1/9` (c) `1/3` (d) 1

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Knowledge Check

  • The value of ( x + y + z)^(3) - ( y + z - x )^(3) - ( z - x - y )^(3) - ( x + y - z) ^(3) is

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    A
    24 xyz
    B
    `-24`xyz
    C
    3 xyz
    D
    xyz

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