Question

упростите выражение
$( \frac{c}{b - c } - \frac{c}{b} ) \div \frac{ {c}^{2} }{ {b}^{2} }$

Answer 1

$( \frac{c}{b-c} - \frac{c}{b}) : \frac{c^2}{b^2} = \frac{bc - (bc - c^2)}{b(b-c)} * \frac{b^2}{c^2} = \frac{c^2}{b(b-c)} * \frac{b^2}{c^2} = \frac{b}{b - c}$