数学题化简再求值(1/x-y+1/x+y)÷x^2 y^2/x^2-y^2,其中x=3,y=-√2

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数学题化简再求值(1/x-y+1/x+y)÷x^2 y^2/x^2-y^2,其中x=3,y=-√2
数学题化简再求值
(1/x-y+1/x+y)÷x^2 y^2/x^2-y^2,其中x=3,y=-√2

数学题化简再求值(1/x-y+1/x+y)÷x^2 y^2/x^2-y^2,其中x=3,y=-√2

(1/x-y+1/x+y)÷x^2 y^2/x^2-y^2
=(2x)/(x^2-y^2)÷(x^2 y^2)/(x^2-y^2)
=(2x)/(x^2-y^2)÷(x^2-y^2)/(x^2 y^2)
=2/(xy^2)
当x=3,y=-√2 时
2/(xy^2)
=2/(3*2)
=1/3
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