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

Answer 1

#3/5 and x!=-2#

Reduce the expression to as few words as possible.

#(3x+6)/(5x+10) =(3(x+2))/(5(x+2)#

You can now remove the shared factors.

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

For the restrictions, you have to make sure that a value of the variable does not make the denominator equal to #0#.
If #x# has the value #-2# this would make #x+2 = -2+2=0#
SO in this case, #x!=-2#
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Answer 2

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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Answer from HIX Tutor

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.

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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