Помогите плез пилить 4 примера, даю много баллов

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Помогите плез пилить 4 примера, даю много баллов


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Алгебра (33 баллов) | 21 просмотров
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Правильный ответ

Решите задачу:

2)( \frac{c}{c+6} + \frac{36+c^2}{36-c^2} - \frac{c}{c-6} ): \frac{6c+c^2}{(6-c)^2}= \\ ( \frac{c}{c+6} + \frac{(6+c)(6+c)}{(6-c)(6+c)} - \frac{c}{c-6} ): \frac{6c+c^2}{(6-c)^2}= \\ ( \frac{c}{c+6} + \frac{(6+c)}{(6-c)} + \frac{c}{6-c} ): \frac{6c+c^2}{(6-c)^2}=
 \\ ( \frac{6c-c^2+36+c^2+6c+c^2}{(6+c)(6-c)} ): \frac{6c+c^2}{(6-c)^2}= \\ 
( \frac{c^2+12c+36}{(6+c)(6-c)} ): \frac{6c+c^2}{(6-c)^2}= \\ ( \frac{(c+6)^2}{(6+c)(6-c)} ): \frac{6c+c^2}{(6-c)^2}= \\

\frac{(c+6)}{(6-c)} : \frac{6c+c^2}{(6-c)^2}= \\ \frac{(c+6)}{(6-c)} * \frac{(6-c)^2}{c(6+c)}= \frac{6-c}{c};

3)( \frac{2m}{n+2m}- \frac{4m^2}{n^2+4m^2+4mn} ):( \frac{2m}{n^2-4m^2}+ \frac{1}{2m-n} )= \\ ( \frac{2m}{n+2m}- \frac{4m^2}{(n+2m)^2} ):( \frac{2m}{(n-2m)(n+2m)}- \frac{1}{n-2m})= \\ ( \frac{2mn+4m^2-4m^2}{(n+2m)^2} ):( \frac{2m-n-2m}{(n-2m)(n+2m)} )= \\ \frac{2mn}{(n+2m)^2} *(- \frac{(n-2m)(n+2m)}{n} )= \\ - \frac{2m*(n-2m)}{(n+2m)} = \frac{4m^2-2mn}{(n+2m)} ;

4)( \frac{2p}{2p+q}- \frac{4p^2}{4p^2+q^2+4pq} ):( \frac{2p}{4p^2-q^2}+ \frac{1}{q-2p} )= \\ ( \frac{2p}{2p+q}- \frac{4p^2}{(2p+q)^2)} ):( \frac{2p}{(2p-q)(2p+q)}- \frac{1}{2p-q} )= \\ \frac{4p^2+2pq-4p^2}{(2p+q)^2} } : \frac{2p-2p-q}{(2p+q)(2p-q)} = \\ \frac{2pq}{(2p+q)^2} } * (- \frac{(2p-q)(2p+q)}{q} )} = \\ -\frac{2p(2p-q)}{2p+q} = \frac{q-4p^2}{2p+q} ;


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