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Ответил drborman2001
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1)![(a+b- frac{2ab}{ya+b})* frac{ a^{2} - b^{2} }{ a^{2} + b^{2} } = (frac{a(a+b)+b(a+b)-2ab}{a+b} )* frac{(a+b)(a-b)}{ a^{2} + b^{2} } = frac{a^{2} + b^{2} }{a+b} *frac{(a+b)(a-b)}{ a^{2} + b^{2} }=a-b[/tx]<br />2)[tex]( frac{m}{mn- n^{2} } - frac{1}{m-n} ): frac{n}{n-m} =( frac{m}{n(m- n)} - frac{1}{m-n} ): frac{n}{n-m}= (frac{m-n}{n(m- n)} ): frac{n}{n-m}= frac{1}{n} * frac{n-m}{n} =n-m (a+b- frac{2ab}{ya+b})* frac{ a^{2} - b^{2} }{ a^{2} + b^{2} } = (frac{a(a+b)+b(a+b)-2ab}{a+b} )* frac{(a+b)(a-b)}{ a^{2} + b^{2} } = frac{a^{2} + b^{2} }{a+b} *frac{(a+b)(a-b)}{ a^{2} + b^{2} }=a-b[/tx]<br />2)[tex]( frac{m}{mn- n^{2} } - frac{1}{m-n} ): frac{n}{n-m} =( frac{m}{n(m- n)} - frac{1}{m-n} ): frac{n}{n-m}= (frac{m-n}{n(m- n)} ): frac{n}{n-m}= frac{1}{n} * frac{n-m}{n} =n-m](https://tex.z-dn.net/?f=%28a%2Bb-+frac%7B2ab%7D%7Bya%2Bb%7D%29%2A+frac%7B++a%5E%7B2%7D+-+b%5E%7B2%7D+%7D%7B+a%5E%7B2%7D+%2B+b%5E%7B2%7D+%7D++%3D+%28frac%7Ba%28a%2Bb%29%2Bb%28a%2Bb%29-2ab%7D%7Ba%2Bb%7D+%29%2A+frac%7B%28a%2Bb%29%28a-b%29%7D%7B+a%5E%7B2%7D+%2B+b%5E%7B2%7D+%7D+%3D++frac%7Ba%5E%7B2%7D+%2B+b%5E%7B2%7D+%7D%7Ba%2Bb%7D+%2Afrac%7B%28a%2Bb%29%28a-b%29%7D%7B+a%5E%7B2%7D+%2B+b%5E%7B2%7D+%7D%3Da-b%5B%2Ftx%5D%26lt%3Bbr+%2F%26gt%3B2%29%5Btex%5D%28+frac%7Bm%7D%7Bmn-+n%5E%7B2%7D+%7D+-+frac%7B1%7D%7Bm-n%7D+%29%3A+frac%7Bn%7D%7Bn-m%7D+%3D%28+frac%7Bm%7D%7Bn%28m-+n%29%7D+-+frac%7B1%7D%7Bm-n%7D+%29%3A+frac%7Bn%7D%7Bn-m%7D%3D+%28frac%7Bm-n%7D%7Bn%28m-+n%29%7D+%29%3A+frac%7Bn%7D%7Bn-m%7D%3D+frac%7B1%7D%7Bn%7D+%2A+frac%7Bn-m%7D%7Bn%7D+%3Dn-m)
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