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    Solve the following. (x-y)3​+(y-z)3 + (z-x)3​ = ?
    Question

    Solve the following.
    (x-y)3​+(y-z)3 + (z-x)3​ = ?

    A.

    3(x-y)(y-z)(z-x)

    B.

    (x-y) (y-z)(z-x)

    C.

    (x+y+z) (x² + y² + z²)

    D.

    3xyz

    Correct option is A

    Concept Used:
    If a + b + c = 0, then a3 + b3 + c3 - 3abc = 0
    Solution:
    Let (x - y) = a; (y - z) = b; (z - x) = c
    a + b + c = x - y + y - z + z - x = 0
    (x - y)3 + (y - z)3 + (z - x)3
    = 3(x - y)(y - z)(z - x)

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