化简求值:(1)已知x+y=6,xy=-2,求(x^4-y^4)÷(x^2+y^2/xy)÷(6x-6y);PS:"/"为分数线.

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化简求值:(1)已知x+y=6,xy=-2,求(x^4-y^4)÷(x^2+y^2/xy)÷(6x-6y);PS:
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化简求值:(1)已知x+y=6,xy=-2,求(x^4-y^4)÷(x^2+y^2/xy)÷(6x-6y);PS:"/"为分数线.
化简求值:(1)已知x+y=6,xy=-2,求(x^4-y^4)÷(x^2+y^2/xy)÷(6x-6y);
PS:"/"为分数线.

化简求值:(1)已知x+y=6,xy=-2,求(x^4-y^4)÷(x^2+y^2/xy)÷(6x-6y);PS:"/"为分数线.
(x^4-y^4)÷(x^2+y^2/xy)÷(6x-6y)
=(x²+y²)(x+y)(x-y)×[xy/(x²+y²)]×1/6(x-y)
=xy(x+y)/6
=-2×6/6
=-2