# How do you simplify the rational expression and state any restrictions on the variable #(b^2 +6b-16)/(b+8)#?

Simplify after extracting a factor from the numerator that is equal to the denominator (note that this isn't always possible, but it works in this example).

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Starting Equation

Divide the numerator by 2.

Remove (b+8) from both the denominator and the numerator.

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To simplify the rational expression (b^2 + 6b - 16)/(b + 8), we can factor the numerator and then cancel out any common factors with the denominator. The numerator can be factored as (b + 8)(b - 2). Therefore, the simplified expression is (b - 2). There are no restrictions on the variable b.

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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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