# How do you simplify #(x^-1-y^-1)/(x^2-y^2)#?

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To simplify the expression (x^-1 - y^-1)/(x^2 - y^2), we can start by finding a common denominator for the two fractions in the numerator. The common denominator is xy.

Next, we can rewrite the expression as follows: (xy/y - xy/x)/(x^2 - y^2).

Simplifying further, we get: (x - y)/(xy(x + y))(x - y).

Finally, we can cancel out the common factor of (x - y) in the numerator and denominator, resulting in: 1/(xy(x + y)).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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