# How do you simplify rational expressions and state restrictions on variables for #(3x + 6)/ (5x + 10)#?

Reduce the expression to as few words as possible.

You can now remove the shared factors.

(3cancel(x+2))/(5cancel(x+2) = 3/5#

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To simplify the rational expression (3x + 6) / (5x + 10), we can first factor out a common factor of 3 from both the numerator and the denominator, resulting in (3(x + 2)) / (5(x + 2)).

Next, we can cancel out the common factor of (x + 2) in the numerator and the denominator, leaving us with the simplified expression 3/5.

There are no restrictions on the variable x in this expression, as it can take any real value.

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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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