# How do you simplify #(p^2-9)/(p^2-5p+6)# and find the excluded values?

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To simplify (p^2-9)/(p^2-5p+6) and find the excluded values, we can factor both the numerator and denominator.

The numerator (p^2-9) can be factored as (p+3)(p-3).

The denominator (p^2-5p+6) can be factored as (p-2)(p-3).

Now, we can cancel out the common factor of (p-3) from both the numerator and denominator.

After canceling, the simplified expression becomes (p+3)/(p-2).

The excluded value is the value of p that makes the denominator equal to zero. In this case, p=2 is the excluded value.

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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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