先化简,再求值:(x²)/(x²-2xy+y²)÷(x²+2xy+y²)/(x&
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先化简,再求值:(x²)/(x²-2xy+y²)÷(x²+2xy+y²)/(x²-y²),其中x=3
y=4
y=4
![先化简,再求值:(x²)/(x²-2xy+y²)÷(x²+2xy+y²)/(x&](/uploads/image/z/6382403-35-3.jpg?t=%E5%85%88%E5%8C%96%E7%AE%80%2C%E5%86%8D%E6%B1%82%E5%80%BC%EF%BC%9A%EF%BC%88x%26sup2%EF%BC%89%2F%EF%BC%88x%26sup2-2xy%2By%26sup2%EF%BC%89%C3%B7%EF%BC%88x%26sup2%2B2xy%2By%26sup2%EF%BC%89%2F%EF%BC%88x%26)
(x²)/(x²-2xy+y²)÷(x²+2xy+y²)/(x²-y²)
=(x²)/(x-y)²÷(x+y)²/(x+y)(x-y)
=x² / (x-y)² * (x+y)(x-y) / (x+y)²
=x² / (x-y)(x+y)
=x² / (x²-y²)
把x=3,y=4代入
原式=3² / (3²-4²)
=-9/7
=(x²)/(x-y)²÷(x+y)²/(x+y)(x-y)
=x² / (x-y)² * (x+y)(x-y) / (x+y)²
=x² / (x-y)(x+y)
=x² / (x²-y²)
把x=3,y=4代入
原式=3² / (3²-4²)
=-9/7
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