问题 填空题
已知x,y为实数,且满足
1+x
-(y-1)
1-y
=0,那么x3-y3=______.
答案

根据二次根式有意义的条件可得,y≤1,x≥-1,

x+1
≥0,-(y-1)
1-y
≥0,

又∵

1+x
-(y-1)
1-y
=0,

x+1
=0,-(y-1)
1-y
=0,

解得:x=-1,y=1,

∴x3-y3=-2.

故答案为:-2.

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