# How do you simplify #1/(x²-x) - 1/x#?

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To simplify the expression 1/(x²-x) - 1/x, we need to find a common denominator. The common denominator for these two fractions is x(x-1). Multiplying the first fraction by (x/x) and the second fraction by ((x-1)/(x-1)), we get (x-1)/(x(x-1)) - (x(x-1))/(x(x-1)). Simplifying further, we have (x-1 - x(x-1))/(x(x-1)). Expanding the numerator, we get (x-1 - x² + x)/(x(x-1)). Combining like terms, we have (-x² + 2)/(x(x-1)). Therefore, the simplified expression is (-x² + 2)/(x(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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