# How do you simplify #(x+5)/(x^-4)-3/(x^2-4)#?

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To simplify the expression (x+5)/(x^-4)-3/(x^2-4), we need to find a common denominator and combine the fractions. The common denominator is (x^-4)(x^2-4).

To combine the fractions, we multiply the numerator and denominator of the first fraction (x+5) by (x^2-4), and the numerator and denominator of the second fraction (-3) by (x^-4).

This gives us ((x+5)(x^2-4))/((x^-4)(x^2-4)) - ((-3)(x^2-4))/((x^-4)(x^2-4)).

Simplifying further, we get (x^3+x^2-4x-20)/(1-3x^2).

Therefore, the simplified expression is (x^3+x^2-4x-20)/(1-3x^2).

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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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