问题 填空题
已知xy=
1
2
,则(x+y)2-(x-y)2的值为______.
答案

∵xy=

1
2

∴(x+y)2-(x-y)2

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

=2x•2y,

=4xy,

=4×

1
2

=2.

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