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условие есть , начну сразу по действиям
![1) frac{1}{x-y} - frac{1}{x+y} = frac{x+y}{ (x-y)(x+y)} - frac{x-y}{(x-y)(x+y)} = frac{x+y-(x-y)}{ x^{2} -y^{2} } = frac{x+y-x+y}{x^{2} -y^{2}} = \ = frac{2y}{x^{2} -y^{2}} \ \ 2) frac{2y}{x^{2} -y^{2}} * frac{x^{2} -y^{2}}{y} = frac{2y(x^{2} -y^{2})}{(x^{2} -y^{2})y} =2 1) frac{1}{x-y} - frac{1}{x+y} = frac{x+y}{ (x-y)(x+y)} - frac{x-y}{(x-y)(x+y)} = frac{x+y-(x-y)}{ x^{2} -y^{2} } = frac{x+y-x+y}{x^{2} -y^{2}} = \ = frac{2y}{x^{2} -y^{2}} \ \ 2) frac{2y}{x^{2} -y^{2}} * frac{x^{2} -y^{2}}{y} = frac{2y(x^{2} -y^{2})}{(x^{2} -y^{2})y} =2](https://tex.z-dn.net/?f=1%29+frac%7B1%7D%7Bx-y%7D+-+frac%7B1%7D%7Bx%2By%7D+%3D+frac%7Bx%2By%7D%7B+%28x-y%29%28x%2By%29%7D+-+frac%7Bx-y%7D%7B%28x-y%29%28x%2By%29%7D+%3D+frac%7Bx%2By-%28x-y%29%7D%7B+x%5E%7B2%7D+-y%5E%7B2%7D+%7D+%3D+frac%7Bx%2By-x%2By%7D%7Bx%5E%7B2%7D+-y%5E%7B2%7D%7D+%3D++%5C+%3D+frac%7B2y%7D%7Bx%5E%7B2%7D+-y%5E%7B2%7D%7D++%5C++%5C+2%29+frac%7B2y%7D%7Bx%5E%7B2%7D+-y%5E%7B2%7D%7D+%2A+frac%7Bx%5E%7B2%7D+-y%5E%7B2%7D%7D%7By%7D+%3D+frac%7B2y%28x%5E%7B2%7D+-y%5E%7B2%7D%29%7D%7B%28x%5E%7B2%7D+-y%5E%7B2%7D%29y%7D+%3D2)
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