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

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