已知x²-y²=xy,.且xy≠0.求代数式x²y的-2次方+x的-2次方y²的值
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![已知x²-y²=xy,.且xy≠0.求代数式x²y的-2次方+x的-2次方y²的值](/uploads/image/z/1088244-36-4.jpg?t=%E5%B7%B2%E7%9F%A5x%26%23178%3B-y%26%23178%3B%3Dxy%2C.%E4%B8%94xy%E2%89%A00.%E6%B1%82%E4%BB%A3%E6%95%B0%E5%BC%8Fx%26%23178%3By%E7%9A%84-2%E6%AC%A1%E6%96%B9%EF%BC%8Bx%E7%9A%84-2%E6%AC%A1%E6%96%B9y%26%23178%3B%E7%9A%84%E5%80%BC)
已知x²-y²=xy,.且xy≠0.求代数式x²y的-2次方+x的-2次方y²的值
已知x²-y²=xy,.且xy≠0.求代数式x²y的-2次方+x的-2次方y²的值
已知x²-y²=xy,.且xy≠0.求代数式x²y的-2次方+x的-2次方y²的值
x^2 -y^2=xy
(x^2 -y^2)/xy=1
x^2y^-2 + x^-2 y^2
=(x/y)^2 +(y/x)^2
=[(x/y)-(y/x)]^2 +2
=(x^2 -y^2)/xy +2
=1+2
=3