[代數] 一題多項式請高手幫忙

[sunfin (遠方)]

已知(x+y+z)(x+y)(y+z)(z+x)不等於零

且[x^2/(y+z)]+[y^2/(z+x)]+[z^2/(x+y)]=0

求:

1.  [x/(y+z)] + [y/(z+x)] + [z/(x+y)] = ?

2.  [x^2/(yz)] + [y^2/(zx)] + [z^2/(xy)] = ?


感激不盡！

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推 tandem      :(1) 式乘 (x+y+z) = (x+y+z)  故 (1) 式 = 1
→ playerOrz   :2. -3
→ playerOrz   :-1*