# How do you simplify the expression and find the excluded values for the rational expression #\frac{4x-2}{2x^2+x-1}#?

Since there can be no zero in the denominator,

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To simplify the expression \frac{4x-2}{2x^2+x-1}, we can factor the numerator and denominator. The numerator can be factored as 2(2x-1), and the denominator can be factored as (2x-1)(x+1).

Therefore, the simplified expression is \frac{2}{x+1}.

To find the excluded values, we need to identify the values of x that would make the denominator equal to zero. In this case, the denominator (x+1) would be equal to zero if x = -1.

Hence, the excluded value for the rational expression is 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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