计算:[x^2+y^2)-(x-y)^2+2y(x-y)÷4y,若,2x-y的算术平方根是4,求代数式值的立方根

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计算:[x^2+y^2)-(x-y)^2+2y(x-y)÷4y,若,2x-y的算术平方根是4,求代数式值的立方根
计算:[x^2+y^2)-(x-y)^2+2y(x-y)÷4y,若,2x-y的算术平方根是4,求代数式值的立方根

计算:[x^2+y^2)-(x-y)^2+2y(x-y)÷4y,若,2x-y的算术平方根是4,求代数式值的立方根
:[x^2+y^2)-(x-y)^2+2y(x-y)]÷4y
=(x²+y²-x²+2xy-y²+2xy-2y²)÷4y
=(4xy-2y²)÷4y
=(2x-y)÷2
=4²÷2
=8
∴代数式值的立方根=³√8=2

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