# How do you simplify #(x^3+5x^2-x-5)/(x^2-25)*(x+1)#?

Factorise

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To simplify the expression (x^3+5x^2-x-5)/(x^2-25)*(x+1), we can factor the numerator and denominator. The numerator can be factored as (x+1)(x^2-5), and the denominator can be factored as (x-5)(x+5).

Now, we can cancel out the common factors between the numerator and denominator. The (x+1) term cancels out, leaving us with (x^2-5)/(x-5)(x+5).

Therefore, the simplified expression is (x^2-5)/(x-5)(x+5).

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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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