if x+y+z=xyz,prove that:?

Question

x(1-y^2)(1-z^2+y(1-z^2)(1-x^2)+z(1-x^2)(1-y^2)=4xyz

Answer 1

What is to be proved? It's not clear.

Answer 2

x, y, and z = 1

Answer 3

x-1, y=2, z=3, satisfies your original equation.

The rest of your equation does not make sense. You even have a missing parentheses. The three dots at thye end indicate you that there is some kind of series that goes on forever. but you should restate your problem as it is gibberish as currently ststed.

Answer 4

you have to divide both sides of the equal sign by xyz so it will look somewhat like this:
(x/xyz) + (y/xyz) + (z/xyz) = (xyz/xyz)

then simplify so it looks like this
(1/yz)+(1/xz)+(1/xy)=1
It looks to me that x=1/3 y=1/3 z=1/3

But I could be wrong -- its been a while and I am not a mathematician

Answer 5

if you set everything to one than its proven

i think the question doesnt make perfect sence to me

Answer 6

incomplete