x+y=5,则(-x^2-y^2/2xy)^2除以(x-y/-xy)^2的值是多少?

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x+y=5,则(-x^2-y^2/2xy)^2除以(x-y/-xy)^2的值是多少?
x+y=5,则(-x^2-y^2/2xy)^2除以(x-y/-xy)^2的值是多少?

x+y=5,则(-x^2-y^2/2xy)^2除以(x-y/-xy)^2的值是多少?
25/4

x+y=5, x=5-y,
(x+y)²=25, x²+y²=25-2xy,
x²+y²-2xy=25-4xy, (x-y)²=25-4xy,
则(-x^2-y^2/2xy)^2除以(x-y/-xy)^2
=【(x^2+y^2/2xy)×(xy/x-y)】^2
=【(x²+y²)/2(x-y)】²
=(25-2xy)²/[4(25-4xy)]