Предмет: Алгебра, автор: manya040809

СРОЧНО!!!!!
доведи, що при всіх допустимих значеннях х, значення виразу



не залежить від значення х;

Приложения:

mariyafroiuk: Доведи тотожність:

.

Ответы

Автор ответа: xcerty522
3

Ответ:

( \frac{3}{ {x}^{2}  - x + 1}  +  \frac{ {x}^{2}  - x - 2}{ {x}^{3}  + 1}) \div  \frac{1 + x}{ {x}^{2}  - x + 1}  =  \frac{3(x + 1) +  {x}^{2} - x - 2 }{ {x}^{3}  + 1}  \times  \frac{ {x}^{2}  - x + 1}{1 + x}  =  \frac{ {x}^{2}  + 2x + 1}{ {x}^{3}  + 1}  \times  \frac{ {x}^{2} - x + 1 }{1 + x}  =  \frac{ {(x + 1)}^{2} }{(x + 1)( {x}^{2} - x + 1) }  \times  \frac{ {x}^{2} - x + 1 }{x + 1}  = 1

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