Question

помните пожалуйста срочно дам 20баллов​

Answer 1

Ответ:

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

Answer 2

Объяснение:

$\frac{{a}^{2} + ax + {x}^{2} }{x - 1} : \frac{ {a}^{3} - {x}^{3} }{ {x}^{2} - 1 } = \\ = \frac{{a}^{2} + ax + {x}^{2} }{x - 1} \times \frac{ {x}^{2} - 1 }{ {a}^{3} - {x}^{3} } = \\ \small{= \frac{ \cancel{{a}^{2} + ax + {x}^{2}} }{ \cancel{x - 1}} {\times } \frac{ ( \cancel{{x}- 1 })(x + 1)}{(a - x) (\cancel{{a}^{2} + ax + {x}^{2}})} =} \\ = \frac{x + 1}{a - x}$