Posted by Olivia on Wednesday, January 5, 2011 at 12:21am.
Please use numbers or letter symbols, not words, to represent algebraic expressions. They are much easier to work with.
I will assume this is what you mean:
(x/y - y/x)/(1/y + 1/x)
Multiply both numerator and denominator by xy. This will not change the value of the fraction, and leads to:
(x^2 - y^2)/(x + y)
Next, factor the numerator and cancel out the (x+y) that will appear in both numerator and denominator.
You should end up with just x - y
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