求[(x²+y²)-(x-y)²+2y(x-y)]÷4y的值,其中2x-y=8.
来源:学生作业学帮网 编辑:学帮网 时间:2024/06/02 01:47:06
求[(x²+y²)-(x-y)²+2y(x-y)]÷4y的值,其中2x-y=8.
[(x²+y²)-(x-y)²+2y(x-y)]÷4y的值,其中2x-y=8.
=[x²+y²-x²+2xy-y²+2xy-2y²]÷4y
=[4xy-2y²]÷4y
=2y[2x-y]÷4y
=[2x-y]÷2
=8÷2
=4
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来源:学生作业学帮网 编辑:学帮网 时间:2024/06/02 01:47:06
求[(x²+y²)-(x-y)²+2y(x-y)]÷4y的值,其中2x-y=8.
[(x²+y²)-(x-y)²+2y(x-y)]÷4y的值,其中2x-y=8.
=[x²+y²-x²+2xy-y²+2xy-2y²]÷4y
=[4xy-2y²]÷4y
=2y[2x-y]÷4y
=[2x-y]÷2
=8÷2
=4