Question #12cfb

1 Answer

(x^(-1)+y^(-1))/(x^(-1)-y^(-1))x1+y1x1y1

=(1/x+1/y)/(1/x-1/y)1x+1y1x1y

=[(y+x)/(xy)]/[(y-x)/(xy)]y+xxyyxxy

=(y+x)/(xy)*(xy)/(y-x)y+xxyxyyx

=(y+x)/(y-x)y+xyx

Explanation:

1) I used x^(-a)=1/(x^a)xa=1xa rule.

2) I equated denominators.

3) I used (a/b)/(c/d)abcd=a/b*d/cabdc rule.

4) After simpliication, I found this result.