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в)![frac{3a-9}{a+2} : frac{ a^{2} -9}{ a^{2} -4} = frac{3(a-3)}{a+2}* frac{(a-2)(a+2)}{(a-3)(a+3)}= frac{3(a-2)}{a+3} frac{3a-9}{a+2} : frac{ a^{2} -9}{ a^{2} -4} = frac{3(a-3)}{a+2}* frac{(a-2)(a+2)}{(a-3)(a+3)}= frac{3(a-2)}{a+3}](https://tex.z-dn.net/?f=+frac%7B3a-9%7D%7Ba%2B2%7D+%3A+frac%7B+a%5E%7B2%7D+-9%7D%7B+a%5E%7B2%7D+-4%7D+%3D+frac%7B3%28a-3%29%7D%7Ba%2B2%7D%2A+frac%7B%28a-2%29%28a%2B2%29%7D%7B%28a-3%29%28a%2B3%29%7D%3D+frac%7B3%28a-2%29%7D%7Ba%2B3%7D+++)
![(frac{x+y}{x-y}- frac{x-y}{x+y}): frac{xy}{ x^{2} - y^{2} } = frac{ (x+y)^{2} - (x-y)^{2} }{(x-y)(x+y)} * frac{ x^{2} - y^{2} }{xy} = frac{ x^{2} +2xy+ y^{2}- x^{2} +2xy- y^{2} }{ x^{2} - y^{2} } * (frac{x+y}{x-y}- frac{x-y}{x+y}): frac{xy}{ x^{2} - y^{2} } = frac{ (x+y)^{2} - (x-y)^{2} }{(x-y)(x+y)} * frac{ x^{2} - y^{2} }{xy} = frac{ x^{2} +2xy+ y^{2}- x^{2} +2xy- y^{2} }{ x^{2} - y^{2} } *](https://tex.z-dn.net/?f=+%28frac%7Bx%2By%7D%7Bx-y%7D-+frac%7Bx-y%7D%7Bx%2By%7D%29%3A+frac%7Bxy%7D%7B+x%5E%7B2%7D+-+y%5E%7B2%7D+%7D+%3D+frac%7B+%28x%2By%29%5E%7B2%7D+-+%28x-y%29%5E%7B2%7D+%7D%7B%28x-y%29%28x%2By%29%7D+%2A+frac%7B+x%5E%7B2%7D+-+y%5E%7B2%7D+%7D%7Bxy%7D+%3D+frac%7B+x%5E%7B2%7D+%2B2xy%2B+y%5E%7B2%7D-+x%5E%7B2%7D+%2B2xy-+y%5E%7B2%7D++%7D%7B+x%5E%7B2%7D+-+y%5E%7B2%7D+%7D+%2A+++++)
![frac{ x^{2} - y^{2} }{xy} = frac{4xy*( x^{2} - y^{2} )}{xy( x^{2} -y^{2} )} =4 frac{ x^{2} - y^{2} }{xy} = frac{4xy*( x^{2} - y^{2} )}{xy( x^{2} -y^{2} )} =4](https://tex.z-dn.net/?f=+frac%7B+x%5E%7B2%7D+-+y%5E%7B2%7D+%7D%7Bxy%7D+%3D+frac%7B4xy%2A%28+x%5E%7B2%7D+-+y%5E%7B2%7D+%29%7D%7Bxy%28+x%5E%7B2%7D+-y%5E%7B2%7D+%29%7D+%3D4)
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