# How do you simplify #(y – x)/(x^2y) + (x + y) (xy^2)#?

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To simplify the expression (y – x)/(x^2y) + (x + y)/(xy^2), we can find a common denominator and combine the fractions. The common denominator is x^2y * xy^2 = x^3y^3.

Multiplying the first fraction by y^2/y^2 and the second fraction by x^3/x^3, we get (y^3 - xy^2)/(x^3y^3) + (x^3 + xy^3)/(x^3y^3).

Combining the numerators, we have (y^3 - xy^2 + x^3 + xy^3)/(x^3y^3).

Simplifying further, we get (x^3 + y^3 + xy^3 - xy^2)/(x^3y^3).

This is the simplified form of the expression.

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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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