Question

Решите номер 37.Есть вложение.

Answer 1

$cfrac{ frac{ab}{a-b}-c }{ frac{bc}{c-b}-a } = cfrac{ frac{ab-c(a-b)}{a-b} }{ frac{bc-a(c-b)}{c-b} } = cfrac{ frac{ab-ac+bc}{a-b} }{ frac{bc-ac+ab}{c-b} } = frac{(ab-ac+bc)(c-b)}{(a-b)(bc-ac+ab)} }= frac{c-b}{a-b}$

$cfrac{a- frac{bc}{b-c} }{b- frac{ac}{a-c} } = cfrac{ frac{a(b-c)-bc}{b-c} }{ frac{b(a-c)-ac}{a-c} } = cfrac{ frac{ab-ac-bc}{b-c} }{ frac{ab-bc-ac}{a-c} } = frac{(ab-ac-bc)(a-c)}{(b-c)(ab-bc-ac)} }= frac{a-c}{b-c} }$