Simplify the complex rational expression completely. Show all work: (1/x+1/y)/(x/y-y/x)

Sara Fleming 2022-09-24 Answered
Simplify the complex rational expression completely. Show all work:
1 x + 1 y x y y x
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Answers (1)

Anna Juarez
Answered 2022-09-25 Author has 5 answers
The given expression is
1 x + 1 y x y y x
So,
1 x + 1 y x y y x = y + x x y x 2 y 2 y x = x + y x y × x y x 2 y 2 = x + y x 2 y 2 = ( x + y ) ( x + y ) ( x y ) = 1 x + 1 y x y y x = 1 x y
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