Question

If x+y+z=0 then find the value of (x+y) (y+z) (z+x)/xyz

Answer 1

Answer:

It's - 1

Step-by-step explanation:

I hope u got it after seeing the procedure

Answer 2

Answer:

-1

Step-by-step explanation:

SOLUTION:

x+y+z=0              .....(Given)

So,

∴x + y = -z     ........(1)

Similarly,

∴z + x = -y    .........(2)

∴y + z = -x    .........(3)

Now,

(x + y)(y + z)(z + x) / (xyz) = (-z)(-x)(-y) / (xyz)                     .....From (1)(2)&(3)

                                       = -xyz / xyz

                                       = -1

ANS Value of given expression is -1