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3. Why can the numerator and denominator of a rational expression be divided by their common factors? What conditions must be placed on the value of the variables when a rational expression is simplified?

User Solujic
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1 Answer

3 votes

Answer:

Explanation:

Hello, do you agree that for any real number a (different from 0)


(a)/(a)=1

?

5/5 = 1 for instance.

So, when you have the same common factor at the numerator and at the denominator you can eliminate it. For instance.


(10)/(4)=(5*2)/(2*2)=(5)/(2)\cdot (2)/(2)=(5)/(2)

You just need to be careful with 0, as dividing by 0 is not allowed.

Hope this helps

Thank you.

User AndreyF
by
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