# How do you simplify #(y/3 + 1)/(y^2/9 - 1)#?

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To simplify the expression (y/3 + 1)/(y^2/9 - 1), we can start by factoring the denominator. The denominator can be factored as the difference of squares: (y^2/9 - 1) = ((y/3)^2 - 1^2) = ((y/3 + 1)(y/3 - 1)).

Next, we can rewrite the expression as (y/3 + 1)/((y/3 + 1)(y/3 - 1)).

Now, we can cancel out the common factor of (y/3 + 1) in the numerator and denominator.

The simplified expression is 1/(y/3 - 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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