已知x^2-y^2=xy,且xy不等于0.求x^2y^-2+x^-2y^2的值上述题目为:已知x的2次方减去y的2次方等于xy,且xy不等于0,求(x的2次方乘以y的负2次方的积)再加上(x的负2次方乘以y的2次方的积)最好能写明过
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![已知x^2-y^2=xy,且xy不等于0.求x^2y^-2+x^-2y^2的值上述题目为:已知x的2次方减去y的2次方等于xy,且xy不等于0,求(x的2次方乘以y的负2次方的积)再加上(x的负2次方乘以y的2次方的积)最好能写明过](/uploads/image/z/568055-47-5.jpg?t=%E5%B7%B2%E7%9F%A5x%5E2-y%5E2%3Dxy%2C%E4%B8%94xy%E4%B8%8D%E7%AD%89%E4%BA%8E0.%E6%B1%82x%5E2y%5E-2%2Bx%5E-2y%5E2%E7%9A%84%E5%80%BC%E4%B8%8A%E8%BF%B0%E9%A2%98%E7%9B%AE%E4%B8%BA%EF%BC%9A%E5%B7%B2%E7%9F%A5x%E7%9A%842%E6%AC%A1%E6%96%B9%E5%87%8F%E5%8E%BBy%E7%9A%842%E6%AC%A1%E6%96%B9%E7%AD%89%E4%BA%8Exy%2C%E4%B8%94xy%E4%B8%8D%E7%AD%89%E4%BA%8E0%2C%E6%B1%82%EF%BC%88x%E7%9A%842%E6%AC%A1%E6%96%B9%E4%B9%98%E4%BB%A5y%E7%9A%84%E8%B4%9F2%E6%AC%A1%E6%96%B9%E7%9A%84%E7%A7%AF%EF%BC%89%E5%86%8D%E5%8A%A0%E4%B8%8A%EF%BC%88x%E7%9A%84%E8%B4%9F2%E6%AC%A1%E6%96%B9%E4%B9%98%E4%BB%A5y%E7%9A%842%E6%AC%A1%E6%96%B9%E7%9A%84%E7%A7%AF%EF%BC%89%E6%9C%80%E5%A5%BD%E8%83%BD%E5%86%99%E6%98%8E%E8%BF%87)
已知x^2-y^2=xy,且xy不等于0.求x^2y^-2+x^-2y^2的值上述题目为:已知x的2次方减去y的2次方等于xy,且xy不等于0,求(x的2次方乘以y的负2次方的积)再加上(x的负2次方乘以y的2次方的积)最好能写明过
已知x^2-y^2=xy,且xy不等于0.求x^2y^-2+x^-2y^2的值
上述题目为:
已知x的2次方减去y的2次方等于xy,且xy不等于0,求(x的2次方乘以y的负2次方的积)再加上(x的负2次方乘以y的2次方的积)
最好能写明过程
已知x^2-y^2=xy,且xy不等于0.求x^2y^-2+x^-2y^2的值上述题目为:已知x的2次方减去y的2次方等于xy,且xy不等于0,求(x的2次方乘以y的负2次方的积)再加上(x的负2次方乘以y的2次方的积)最好能写明过
x^2-y^2=xy
两边平方
x^4+y^4-2x^2y^2=x^2y^2
x^4+y^4=3x^2y^2
x^2y^-2+x^-2y^2
x^2/y^2+y^2/x^2
=(x^4+y^4)/x^2y^2
=3x^2y^2/x^2y^2
=3
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