Помогите упростить ( x/y - y/x) * y/x+y - 1

Question

Помогите упростить
( x/y - y/x) * y/x+y - 1

Answer 1

(x/y-y/x)*y/x+y-1=
1) x/y-y/x=x^2/xy-y^2/xy=(x-y)(x+y)/xy
2)(x-y)(x+y)/xy•y/(x+y)=x-y/x
3)x-y/x - 1=x-y/x - x/x=x-y-x/x=- y/x