Show that any real numbers a and b and any integers x and y so that x≠ 0, y ≠ 0, x ≠ y and x ≠ -y

Question

Show that any real numbers a and b and any integers x and y so that x≠ 0, y ≠ 0, x ≠ y and x ≠ -y
(y/x - x/y)((ax+by)/x+y - (ax-by)/x-y) = 2(a -b)

Homework Dump · Answer

(y/x - x/y) * ((ax+by)/(x+y) - (ax-by)/(x-y)) = (y^2-x^2)/(xy) * (2xy)(b-a) / (x^2-y^2) watch how the factors cancel.

Jay · Answer

Hello. Thank you for the response! Can you elaborate on how you got the part of (2xy(b-a) / (x^2-y^2)?