# How do you divide #(v^3+27)/(v+3)#?

Thus, factoring it asks for:

or:

So you get, with the first one:

No guessing necessary.

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To divide (v^3+27)/(v+3), we can use the long division method.

First, divide v^3 by v, which gives v^2. Multiply v^2 by (v+3), which gives v^3+3v^2. Subtract this from v^3+27 to get -3v^2+27.

Next, divide -3v^2 by v, which gives -3v. Multiply -3v by (v+3), which gives -3v^2-9v. Subtract this from -3v^2+27 to get 9v+27.

Finally, divide 9v by v, which gives 9. Multiply 9 by (v+3), which gives 9v+27. Subtract this from 9v+27 to get 0.

Therefore, the division of (v^3+27)/(v+3) is v^2-3v+9.

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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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