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已知x-y=5,xy=5,求(x^2-y^2)/(x^2y+xy^2)
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已知x-y=5,xy=5,求(x^2-y^2)/(x^2y+xy^2)
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答案和解析
(x^2-y^2)/(x^2y+xy^2)
=[(x+y)(x-y)]/[xy(x+y)]
=(x-y)/xy
=5/5
=1
=[(x+y)(x-y)]/[xy(x+y)]
=(x-y)/xy
=5/5
=1
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