Teaching DSSSB TGT Mock Test 2025 Quantitative Aptitude Algebra Polynomials

If x + y + z = 0, then what is \(-\frac{(x+y)(y+z)(z+x)}{xyz}\) equal to (where, x, y, z ≠0) ?

1
xyz
2
1
3
xy + yz + zx
4
-1
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