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

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To simplify (x^3 - 1)/(x-1), you can use the factorization of a difference of cubes. The expression can be rewritten as (x - 1)(x^2 + x + 1)/(x - 1). The (x - 1) terms cancel out, leaving you with x^2 + x + 1 as the simplified form.

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To simplify the expression (x^3 - 1)/(x - 1), we can use polynomial division or factorization. Factoring the numerator as the difference of cubes, we get:

x^3 - 1 = (x - 1)(x^2 + x + 1)

So, the expression becomes:

(x^3 - 1)/(x - 1) = [(x - 1)(x^2 + x + 1)] / (x - 1)

Now, we can cancel out the common factor (x - 1) from the numerator and denominator:

= (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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