Упростите выражение (a/a-b -a/a+b)* a+b/2b

Question

Упростите выражение (a/a-b -a/a+b)* a+b/2b

Answer 1

(a/(a-b) -a/(a+b))* (a+b)/2b=(a/2b)*((a+b)/(a -b) -1) =(a/2b)*(a+b -a+b)/(a-b) =
(a/2b)*2b/(a-b)=a / (a-b).
================== или  =======================
(a/(a-b) -a/(a+b))* (a+b)/2b=a*(1(/(a-b) -1/(a+b))* (a+b)/2b=
a*(a+b-(a -b))/(a+b)/2b =a*(2b/(a-b)*(a-b))*(a+b)/2b =a/(a-b).
===================или ======================
(a/(a-b) -a/(a+b))* (a+b)/2b =(a(a+b) -a(a-b))/((a-b)(a+b))*(a+b)/2b=2ab/(a-b)(a+b)*(a+b)/2b=
=a/(a-b)