(x/x-y)-(y/x+y)=?
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解:x / (x - y)- y /(x + y)
= x(x + y)/ (x + y)(x - y) - y(x - y)/(x + y)(x - y)
= (x ² + x y - x y + y ²)/ (x + y)(x - y)
= (x ² + y ²)/(x ² - y ² )
= x(x + y)/ (x + y)(x - y) - y(x - y)/(x + y)(x - y)
= (x ² + x y - x y + y ²)/ (x + y)(x - y)
= (x ² + y ²)/(x ² - y ² )
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x/(x-y)-y/(x+y)
=x(x+y)/(x^2-y^2)-y(x-y)/(x^2-y^2)
=(x^2+xy-xy+y^2)/(x^2-y^2)
=(x^2+y^2)/(x^2-y^2)
=x(x+y)/(x^2-y^2)-y(x-y)/(x^2-y^2)
=(x^2+xy-xy+y^2)/(x^2-y^2)
=(x^2+y^2)/(x^2-y^2)
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