y/(x+y)-x/(x-y)
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y/(x+y)-x/(x-y)
=y(x-y) /(x+y)(x-y) -x(x+y) /(x+y) (x-y)
=[y(x-y) -x(x+y)] /(x+y) (x-y)
=[xy-y^2 -x^2-xy] /(x+y) (x-y)
=[-y^2-x^2] /(x+y) (x-y)
=-(x^2+y^2)/(x^2-y^2)
=y(x-y) /(x+y)(x-y) -x(x+y) /(x+y) (x-y)
=[y(x-y) -x(x+y)] /(x+y) (x-y)
=[xy-y^2 -x^2-xy] /(x+y) (x-y)
=[-y^2-x^2] /(x+y) (x-y)
=-(x^2+y^2)/(x^2-y^2)
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y / (x+y) - x / (x-y)
= y (x-y) / (x² - y²) - x (x+y) / (x² - y²)
= [y (x-y) - x (x+y)] / (x² - y²) [y (x-y) - x (x+y)] = xy - y² - x² - xy = - y² - x²
= - (x² + y²) / (x² - y²)
= y (x-y) / (x² - y²) - x (x+y) / (x² - y²)
= [y (x-y) - x (x+y)] / (x² - y²) [y (x-y) - x (x+y)] = xy - y² - x² - xy = - y² - x²
= - (x² + y²) / (x² - y²)
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y/(x+y)-x/(x-y)={y(x-y)-x(x+y)}/x²-y²=xy-y²-x²-xy/x²-y²=-(y²+x²)/x²-y²
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