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а) ![= frac{a*(a+3)-3(a+3)+18}{a+3} * frac{ a^{2}+6a+9 }{ a^{2}+9 } * frac{1}{a-3} = frac{ a^{2}+3a-3a-9+18 }{a+3} * frac{ (a+3)^{2} }{ a^{2}+9 } * frac{1}{a-3} = = frac{a*(a+3)-3(a+3)+18}{a+3} * frac{ a^{2}+6a+9 }{ a^{2}+9 } * frac{1}{a-3} = frac{ a^{2}+3a-3a-9+18 }{a+3} * frac{ (a+3)^{2} }{ a^{2}+9 } * frac{1}{a-3} =](https://tex.z-dn.net/?f=%3D+frac%7Ba%2A%28a%2B3%29-3%28a%2B3%29%2B18%7D%7Ba%2B3%7D+%2A++frac%7B+a%5E%7B2%7D%2B6a%2B9+%7D%7B+a%5E%7B2%7D%2B9+%7D+%2A+frac%7B1%7D%7Ba-3%7D+%3D+frac%7B+a%5E%7B2%7D%2B3a-3a-9%2B18+%7D%7Ba%2B3%7D+%2A+frac%7B+%28a%2B3%29%5E%7B2%7D+%7D%7B+a%5E%7B2%7D%2B9+%7D+%2A+frac%7B1%7D%7Ba-3%7D+%3D)
![( a^{2} +9)* frac{a+3}{ a^{2}+9 } * frac{1}{a-3} =(a+3)* frac{1}{a-3} = frac{a+3}{a-3} ( a^{2} +9)* frac{a+3}{ a^{2}+9 } * frac{1}{a-3} =(a+3)* frac{1}{a-3} = frac{a+3}{a-3}](https://tex.z-dn.net/?f=%28+a%5E%7B2%7D+%2B9%29%2A+frac%7Ba%2B3%7D%7B+a%5E%7B2%7D%2B9+%7D+%2A+frac%7B1%7D%7Ba-3%7D+%3D%28a%2B3%29%2A+frac%7B1%7D%7Ba-3%7D+%3D+frac%7Ba%2B3%7D%7Ba-3%7D+)
б) =
=![frac{ x^{2} + y^{2}+xy }{x( y^{2}+xy) } : frac{ y^{2}+x(x+y) }{x(x+y)(x-y)} = frac{ x^{2} + y^{2}+xy }{xy(y+x)} : frac{ y^{2}+ x^{2} +xy }{x(x+y)(x-y)} = frac{ x^{2} + y^{2}+xy }{x( y^{2}+xy) } : frac{ y^{2}+x(x+y) }{x(x+y)(x-y)} = frac{ x^{2} + y^{2}+xy }{xy(y+x)} : frac{ y^{2}+ x^{2} +xy }{x(x+y)(x-y)} =](https://tex.z-dn.net/?f=+frac%7B+x%5E%7B2%7D+%2B+y%5E%7B2%7D%2Bxy+%7D%7Bx%28+y%5E%7B2%7D%2Bxy%29+%7D+%3A++frac%7B+y%5E%7B2%7D%2Bx%28x%2By%29+%7D%7Bx%28x%2By%29%28x-y%29%7D+%3D+frac%7B+x%5E%7B2%7D+%2B+y%5E%7B2%7D%2Bxy+%7D%7Bxy%28y%2Bx%29%7D+%3A+frac%7B+y%5E%7B2%7D%2B+x%5E%7B2%7D+%2Bxy+%7D%7Bx%28x%2By%29%28x-y%29%7D+%3D)
б) =
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