Simplify ((x/y-y/x)(xy))/(x+y)

Math
Simplify the numerator.
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To write as a fraction with a common denominator, multiply by .
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Multiply and .
Multiply and .
Reorder the factors of .
Combine the numerators over the common denominator.
Rewrite in a factored form.
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Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Rewrite as .
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Combine exponents.
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Combine and .
Combine and .
Reduce the expression by cancelling the common factors.
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Cancel the common factor.
Rewrite the expression.
Reduce the expression by cancelling the common factors.
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Reduce the expression by cancelling the common factors.
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Cancel the common factor.
Rewrite the expression.
Divide by .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Simplify ((x/y-y/x)(xy))/(x+y)

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