Question

Which expression is equivalent to the following complex fraction?

A.
`(y+x)/(y-x)`
B.
`((y-x)(y+x))/(x^2y^2)`
C.
`(x^2y^2)/((y+x)(y+x))`
D.
`(y-x)/(y+x)`

Answer 1

`((1)/(x)-(1)/(y))/((1)/(x)+(1)/(y))=((y)/(xy)-(x)/(xy))/((y)/(xy)+(x)/(xy))=((y-x)/(xy))/((y+x)/(xy))=((y-x)xy)/((y+x)xy)=(y-x)/(y+x)`

Answer D.