# How do you simplify #(u^2+7u-18)/(u-2)# and what are the excluded values for the variables?

Although you have a numerator and denominator you are not allowed to simplify yet by cancelling, because there are terms (separated by + and * signs) rather than factors (which are multiplied)

Find the factors first.

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To simplify the expression (u^2+7u-18)/(u-2), we can factor the numerator and then cancel out any common factors with the denominator. The factored form of the numerator is (u+9)(u-2). Therefore, the simplified expression is (u+9).

The excluded value for the variable u is 2, as it would result in division by zero.

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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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