Решите номер 37.Есть вложение.

Решите задачу:

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

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