Question

Упростите выражение(b/a-b - b/a+b)*a-b/b

Answer 1

$( frac{b}{a-b}- frac{b}{a+b})* frac{a-b}{b}= frac{b}{a-b}* frac{a-b}{b}-frac{b}{a+b}* frac{a-b}{b}=1- frac{a-b}{a+b}= frac{a+b-(a-b)}{a+b}=\ \= frac{a+b-a+b}{a+b}=frac{2b}{a+b}$