Question

x+y+z=0,(x+y)(y+z)(z+x)/xyz =?​

Answer 1

Answer:

-1

Step-by-step explanation:

x+y=-z

z+y=-x

z+x=-y

from above equations

(x+y)(y+z)(z+x)/xyz

-xyz/xyz

-1

Answer 2

Answer:

-1

Step-by-step explanation:

x+y+z=0,

y+z = -x

x+y = -z

x+z = -y

(x+y)(y+z)(z+x)/xyz =

-z * -x* -y/xyz =

-xyz/xyz = -1