已知x^2-y^2=4xy,求(x^4+y^4)/(xy)^2的值

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已知x^2-y^2=4xy,求(x^4+y^4)/(xy)^2的值已知x^2-y^2=4xy,求(x^4+y^4)/(xy)^2的值已知x^2-y^2=4xy,求(x^4+y^4)/(xy)^2的值(

已知x^2-y^2=4xy,求(x^4+y^4)/(xy)^2的值
已知x^2-y^2=4xy,求(x^4+y^4)/(xy)^2的值

已知x^2-y^2=4xy,求(x^4+y^4)/(xy)^2的值
(x^2-y^2)^2=(4xy)^2 x^4+y^4-2(xy)^2=16(xy)^2 x^4+y^4=18(xy)^2
(x^4+y^4)/(xy)^2=18