# Divide (x^-1+y^-1)/(x-y)

Simplify the numerator.
Rewrite the expression using the negative exponent rule .
Rewrite the expression using the negative exponent rule .
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.
Multiply the numerator by the reciprocal of the denominator.
Multiply and .
Split the fraction into two fractions.
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Divide (x^-1+y^-1)/(x-y)
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