# How do you simplify the expression #x/(x+1) + 3/(x-1)#?

First you should make the denominators same;

I can only get this far. I don't know if there is a more simplest result. I hope it helps.

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To simplify the expression x/(x+1) + 3/(x-1), you need to find a common denominator and combine the fractions. The common denominator is (x+1)(x-1). Multiply the numerator and denominator of the first fraction by (x-1), and the numerator and denominator of the second fraction by (x+1). This gives you (x(x-1))/((x+1)(x-1)) + (3(x+1))/((x+1)(x-1)). Simplify the numerators and combine the fractions over the common denominator. The simplified expression is (x^2 - x + 3x + 3)/((x+1)(x-1)). Combine like terms in the numerator to get (x^2 + 2x + 3)/((x+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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