# How do you combine #(4-3x)/ (16-x^2) + 3/( x-4)#?

You need to find the lowest common denominator among these two functions. We can try to factor the first function's denominator in order to ease things for us, as shown:

So, we can rewrite the whole sum as

Distributing our factors in the denominator, we have the shortest answer as follows:

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To combine the expressions (4-3x)/(16-x^2) and 3/(x-4), we need to find a common denominator. The common denominator for these expressions is (16-x^2)(x-4).

Next, we multiply the numerator and denominator of the first fraction, (4-3x), by (x-4), and multiply the numerator and denominator of the second fraction, 3, by (16-x^2).

After simplifying the expressions, we can combine the numerators over the common denominator.

The combined expression is [(4-3x)(x-4) + 3(16-x^2)] / (16-x^2)(x-4).

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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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