# How do you combine #x^2/(x-1) - 1/(x-1)#?

You do it by using the lowest common denominator among both fractions.

However, when both fractions have the same denominator and you're working with sums or subtractions, you can just go directly to the operation, summing/subtracting the terms in the numerators, keeping the denominator as it is, as follows:

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Since the numerators are the same:

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To combine the expressions x^2/(x-1) and -1/(x-1), we need a common denominator. In this case, the common denominator is (x-1).

To combine the fractions, we can subtract the numerators and keep the common denominator.

Therefore, the combined expression is (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 the quotient of two polynomials is #4x^2-x-7+(11x+15)/(x^2+x+2)#, what are the two polynomials?
- If y=12 when x=3, how do you find x when y=6 given y varies inversely as x?
- How do you simplify #\frac { 3a } { 2a b } - \frac { 2a } { 4}#?

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