Question

if x+y+z=0,then the value of x(y-z)^3+y(z-x)^3+z(x-y)^3=?​

Answer 1

Answer:

Assume the values of x,y,and z as 1 ,-1 and 0 respectively.

Now, put the values in the given equation;

1(-1-0)^3 + [-1(0-1)^3 ]+ [0(1-1)^3]

= 1(-1)^3 + [-1(-1)^3] + 0

= -1 +1 +0 = 0

Hence the solution of the equation is 0