# How do you simplify #(x^3+x^2-2x)/(x^3+2x^2-x-2)#?

We see that the degree of the polynomial in the numerator is larger or equal than the degree of the polynomial in the denominator, so we can divide these two polynomials. After the division we get

By factoring the numerator and the denominator we get :

or

which we can simplify and get :

Now if you want to, you can add these to create a single fraction :

And you're finished.

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To simplify the expression (x^3+x^2-2x)/(x^3+2x^2-x-2), you can factor both the numerator and the denominator. The numerator can be factored as x(x^2+x-2), and the denominator can be factored as (x+1)(x^2+x-2). Then, you can cancel out the common factors, resulting in x/(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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