# How do you combine #(6y+5)/(5y-25)-(y+2)/(y-5)#?

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See the entire solution process below:

We can next subtract the numerators over the common denominator:

We can now factor the denominator and cancel common terms:

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To combine the expressions (6y+5)/(5y-25) and (y+2)/(y-5), we need to find a common denominator. The common denominator for these expressions is (5y-25)(y-5).

Next, we can multiply the numerator and denominator of the first expression (6y+5)/(5y-25) by (y-5), and multiply the numerator and denominator of the second expression (y+2)/(y-5) by (5y-25).

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

The simplified expression is (6y^2 - 19y - 15)/(5y^2 - 50y + 125).

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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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