已知x2-y2=4,那么(x-y)2(x+y)2=_.

问题描述:

已知x2-y2=4,那么(x-y)2(x+y)2=______.

∵x2-y2=4,
∴(x+y)(x-y)=4,
∴原式=[(x-y)(x+y)]2=42=16.
故答案为:16.