# How do you add or subtract #(x^2)/(x-1)-(1)/(x-1)#?

When you have fractions that have the same denominator, you simply add/subtract the numerators.

But note that if we check the roots for the numerator, we'll end up factoring it:

Rewriting:

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To add or subtract fractions with the same denominator, you simply combine the numerators and keep the common denominator. In this case, the common denominator is (x-1).

So, to add or subtract (x^2)/(x-1) - (1)/(x-1), you can combine the numerators and keep the denominator:

(x^2 - 1)/(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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- If y varies inversely as x, and y=40 when x=0.5, how do you find y when x=20?
- How do you combine #(4-3x)/ (16-x^2) + 3/( x-4)#?
- How do you simplify #(x-5)/(x^2-25)#?

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