The value of ((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 :

Question

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

Answer 1

(c) [(x + y) (y + z) (z + x)]^–1 

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