SOLUTION: I have been struggling to figure out this math problem and I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!! Complex fractions (x+

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Question 172899This question is from textbook Algebra and Trigonometry Structure and Method book 2
: I have been struggling to figure out this math problem and I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!!
Complex fractions
(x+y/x-y) over (1/x)-(1/y)
This question is from textbook Algebra and Trigonometry Structure and Method book 2

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given expression


Let's focus on the denominator for now



Start with the denominator


Multiply the first fraction by


Multiply the second fraction by


Combine the fractions (this only possible now that the denominators are equal)


---------------------------------------------


So the expression




now becomes






Multiply the first fraction by the reciprocal of the second fraction


Factor to get


Reduce


Combine the fractions.


Simplify




So simplifies to

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