# How do you simplify #(x^2-6x+9)/(81-x^4)#?

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To simplify the expression (x^2-6x+9)/(81-x^4), we can factor the numerator and denominator. The numerator is a perfect square trinomial, which can be factored as (x-3)^2. The denominator is a difference of squares, which can be factored as (9-x^2)(9+x^2).

Therefore, the expression simplifies to (x-3)^2 / [(9-x^2)(9+x^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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