# How do you combine #(y/(4y+8)) - (1/(y^2+2y))#?

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To combine the expressions (y/(4y+8)) - (1/(y^2+2y)), we need to find a common denominator for the two fractions. The common denominator is (4y+8)(y^2+2y).

Next, we can rewrite the fractions with the common denominator:

y/(4y+8) = y(y^2+2y)/(4y+8)(y^2+2y)

1/(y^2+2y) = (4y+8)/(4y+8)(y^2+2y)

Now, we can subtract the fractions:

(y(y^2+2y) - (4y+8))/(4y+8)(y^2+2y)

Expanding the numerator:

(y^3 + 2y^2 - 4y - 8)/(4y+8)(y^2+2y)

This is the combined expression.

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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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