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The value of \(\frac{(x-y)^3+(y-z)^3+(z-x)^3}{(x^2-y^2)^3(y^2-z^2)^3(z^2-x^2)^3}\) is :

(a) 1 

(b) [2(x+y+z)]-1

(c) [(x + y) (y + z) (z + x)]–1 

(d) 0

1 Answer

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Best answer

(c) [(x + y) (y + z) (z + x)]–1 

\(\frac{(x-y)^3+(y-z)^3+(z-x)^3}{(x^2-y^2)^3(y^2-z^2)^3(z^2-x^2)^3}\)

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