# How do you simplify #(t^2-25)/(t^2+t-20)#?

Let's simplify both the numerator and denominator separately, we will start with the top:

Using the difference of squares, I come up with the factored form

Let's save that for later, and jump to the bottom

If I think to myself the factors of -20 that add to 1, I get the numbers 5 and -4. This brings me to the factored form:

Now putting the entire thing together, we have:

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To simplify (t^2-25)/(t^2+t-20), we can factor the numerator and denominator. The numerator can be factored as (t+5)(t-5), and the denominator can be factored as (t+5)(t-4). Canceling out the common factor of (t+5), we are left with (t-5)/(t-4) as the simplified form.

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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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