已知2x-y=10,求代数式[(x²+y²)-(x-y)²+2y(x-y)]÷4y的值?

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已知2x-y=10,求代数式[(x²+y²)-(x-y)²+2y(x-y)]÷4y的值?

已知2x-y=10,求代数式[(x²+y²)-(x-y)²+2y(x-y)]÷4y的值?
已知2x-y=10,求代数式[(x²+y²)-(x-y)²+2y(x-y)]÷4y的值?

已知2x-y=10,求代数式[(x²+y²)-(x-y)²+2y(x-y)]÷4y的值?
=[x^2+y^2-x^2-y^2+2xy+2xy-2y^2]/4y
=(4xy-2y^2)/4y
=(2x-y)/2
=10/2
=5