# How do you simplify #(x^2+3x+2)/(x^2-1)#?

Factor the numerator and denominator.

For the denominator, recall the Difference of Squares, which tells us that

Thus,

We then have

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To simplify the expression (x^2+3x+2)/(x^2-1), you can factor both the numerator and the denominator. The numerator can be factored as (x+1)(x+2), and the denominator can be factored as (x+1)(x-1).

Next, you can cancel out the common factor of (x+1) in both the numerator and the denominator.

After canceling out the common factor, the simplified expression becomes (x+2)/(x-1).

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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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