Question

find the value of (x-y)^3+(y-z)^3+(z-x)^3 plz give solution

Answer 1

we know if,
$x + y + z = 0$
then
${x}^{3} + {y}^{3} + {z}^{3} = 0$
Here
$x = x - y \\ y = y - z \\ z = z - x$
so ,
${(x - y)}^{3} + {(y - z)}^{3} + {(z - x)}^{3} \\ = 3(x - y)(y - z)(z - x)$
Hope this helps, bro..!!

Answer 2

refer to the picture above ...... i hope this helps you