If \( x+y+z=0 \), then a factor of the expression \( (x+y)^{3}+ \) \( (y+z)^{3}+(z+x)^{3} \) is ...

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If \( x+y+z=0 \), then a factor of the expression \( (x+y)^{3}+ \) \( (y+z)^{3}+(z+x)^{3} \) is
(a) \( 3(x+y)(y+z)(z+x) \)
(b) \( 3 x y z \)
(c) \( (x+y-z) \)
(d) \( (x-y+z) \)
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