SOLUTION: simplify each rational expressions. state any restrictions on the variable x to the 2nd power minus nine divided by 2x+6

Question 693780: simplify each rational expressions. state any restrictions on the variable
x to the 2nd power minus nine divided by 2x+6
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
To simplify , you start by factoring numerator and denominator.
In the denominator, you can take out as a common factor:

The numerator is a difference of squares, which is one of those special products you must have been taught about, maybe as
.
So .

If , the denominator is zero, and does not exist, it is undefined. not = is your restriction on the variable.

For any other value of ,
.

NOTE: You can write as (x^2-9)/(2x+6).
The parentheses are implied by the long horizontal fraction line in ,
but you need to write them out in (x^2-9)/(2x+6),
because otherwise you have
x^2-9/2x+6 = .
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