SOLUTION: I have been working on this math problem and I can't figure it out. I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!! Complex Fract

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Question 172089This question is from textbook Algebra and Trigonometry Structure and Method book 2
: I have been working on this math problem and I can't figure it out. I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!!
Complex Fractions
Simplify.
a/b-a-b/a+b over a/b-a+b/a-b This question is from textbook Algebra and Trigonometry Structure and Method book 2

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify.
a/b-a-b/a+b over a/b-a+b/a-b
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Comment: Your problem could be more clearly understood if you would use
parentheses.
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= [a/(b-a) - b/(a+b)] / [a/(b-a) + b(a-b)]
Rearrange:
= [-a/(a-b) - b/(a+b)] / [-a/(a-b) + b(a-b)]
lcd = (a+b)(a-b)
= [-(a+b)/(a-b)(a+b)] / [-(a-b)/(a-b)]
= [-1/(a-b)] / [-1]
= a-b
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Cheers,
Stan H.