Simplified value of $\dfrac{1}{1 + a^{y-x} + a^{z-x}} + \dfrac{1}{1 + a^{x-y} + a^{z-y}} + \dfrac{1}{1 + a^{x-z} + a^{y-

Question

Simplified value of $\dfrac{1}{1 + a^{y-x} + a^{z-x}} + \dfrac{1}{1 + a^{x-y} + a^{z-y}} + \dfrac{1}{1 + a^{x-z} + a^{y-z}}$ is:

Accepted Answer

$1$

Answer

$0$

Answer

$a$

Answer

$a^{xyz}$

Simplified value of 11+ay−x+az−x+11+ax−y+az−y+11+ax−z+ay−z\dfrac{1}{1 + a^{y-x} + a^{z-x}} + \dfrac{1}{1 + a^{x-y} + a^{z-y}} + \dfrac{1}{1 + a^{x-z} + a^{y-z}}1+ay−x+az−x1​+ is: