# How do you simplify #\frac { x ^ { 3} - 4x } { x ^ { 2} + x - 2}#?

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To simplify the expression \frac { x ^ { 3} - 4x } { x ^ { 2} + x - 2}, we can factor the numerator and denominator. The numerator can be factored as x(x^2 - 4), which further simplifies to x(x - 2)(x + 2). The denominator can be factored as (x - 1)(x + 2). Therefore, the expression can be simplified to \frac { x(x - 2)(x + 2) } { (x - 1)(x + 2) }. The (x + 2) terms in the numerator and denominator cancel out, leaving us with the simplified expression \frac { x(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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