化简求值:(1)已知x+y=6,xy=-2,求(x^4-y^4)÷(x^2+y^2/xy)÷(6x-6y);
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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.
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);](/uploads/image/z/8734671-63-1.jpg?t=%E5%8C%96%E7%AE%80%E6%B1%82%E5%80%BC%3A%281%29%E5%B7%B2%E7%9F%A5x%2By%3D6%2Cxy%3D-2%2C%E6%B1%82%28x%5E4-y%5E4%29%C3%B7%28x%5E2%2By%5E2%2Fxy%29%C3%B7%286x-6y%29%3B)
(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
再问: 我承认。。。我刚发了问题。。马上自己就做出来了。。。后悔。。但是 那10分还素要给你。。
=(x²+y²)(x+y)(x-y)×[xy/(x²+y²)]×1/6(x-y)
=xy(x+y)/6
=-2×6/6
=-2
再问: 我承认。。。我刚发了问题。。马上自己就做出来了。。。后悔。。但是 那10分还素要给你。。
化简求值:(1)已知x+y=6,xy=-2,求(x^4-y^4)÷(x^2+y^2/xy)÷(6x-6y);
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