# How do you combine #(5x+2)/(x-4) + (x+3)/(x+1)#?

Sorry, this is a long answer.

We now have common denominators. Combine terms.

Group like terms.

Simplify.

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Try this:

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To combine the expressions (5x+2)/(x-4) and (x+3)/(x+1), we need to find a common denominator. The common denominator is (x-4)(x+1).

Next, we multiply the numerator and denominator of the first fraction (5x+2)/(x-4) by (x+1), and the numerator and denominator of the second fraction (x+3)/(x+1) by (x-4).

After simplifying, we get (5x+2)(x+1)/(x-4)(x+1) + (x+3)(x-4)/(x+1)(x-4).

Expanding and combining like terms, we have (5x^2 + 7x - 2)/(x^2 - 3x - 4) as the final expression.

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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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