Answer:
The correct answer is last option
Step-by-step explanation:
It is given that,
(1/x - 1/y)/(1/x +1/y)
<u>To simplify (1/x - 1/y)</u>
1/x - 1/y = (y - x)/xy
<u>To simplify (1/x - 1/y)</u>
1/x + 1/y = (y + x)/xy
To find equivalent expression
(1/x - 1/y)/(1/x +1/y = [(y - x)/xy]/[(y + x)/xy]
= (y - x)*xy/(y +x)*xy = (y - x)/(y + x)
Therefore the correct answer is last option