若x(x4+y4)=y5,x2(x+y)≠y3,则x3+y3=______.-数学

题目简介

若x(x4+y4)=y5,x2(x+y)≠y3,则x3+y3=______.-数学

题目详情

若x(x4+y4)=y5,x2(x+y)≠y3,则x3+y3=______.
题型:填空题难度:中档来源:不详

答案

x5-y5
=x5-x4y+x4y-xy4+xy4-y5
=x5-y5-xy(x3+y3)+xy(x3+y3)
∴-xy(x3+y3)+xy(x3+y3)=0
x3+y3=1.
故答案为:1.

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