若xy=1,则(x+y)²-(x-y)²的值是( )

来源:学生作业帮助网 编辑:六六作业网 时间:2024/07/17 22:56:42
若xy=1,则(x+y)²-(x-y)²的值是()若xy=1,则(x+y)²-(x-y)²的值是()若xy=1,则(x+y)²-(x-y)²

若xy=1,则(x+y)²-(x-y)²的值是( )
若xy=1,则(x+y)²-(x-y)²的值是( )

若xy=1,则(x+y)²-(x-y)²的值是( )
(x+y)²-(x-y)²
=x²+2xy+y²-(x²-2xy+y²)
=x²+2xy+y²-x²+2xy-y²
=4xy
=4*1
=4

4

4

4

原式=【(x+y)+(x-y)】【(x+y)-(x-y)】
=2x·2y=4xy
当xy=1时
4xy=4
∴原方程的值为4