# How do you simplify and find the excluded value of #(3x^2 - 3) /( 6x - 6 )#?

excluded value is x = 1 for unsimplified expression

no excluded value for simplified expression

simplified:

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To simplify the expression (3x^2 - 3) / (6x - 6), we can factor out a common factor of 3 from both the numerator and denominator, resulting in (3(x^2 - 1)) / (6(x - 1)).

Next, we can simplify further by canceling out the common factor of 3, giving us (x^2 - 1) / (2(x - 1)).

To find the excluded value, we need to identify any values of x that would make the denominator equal to zero. In this case, if we set the denominator 2(x - 1) equal to zero and solve for x, we find that x = 1.

Therefore, the excluded value for this 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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