and .
,x cannot equal 1 or −3 because those values of x would cause the fraction to have a denominator of zero.
Factor the numerator and denominator. Cancel the common factor of 2.  
Factor the numerator and denominator. Cancel the common factor of 5. The result of the division is an integer. We say that the denominator divides evenly into the numerator. 
The − sign is put either in front of the result
or in front of the numerator; never in front of the denominator.
Reduce the coefficient 6/9 to lowest terms. 
The two − signs are replaced by a + sign which we don’t have to display.
The coefficient reduces to ¼.
The numerator contains other factors so the 1 in the numerator can be omitted.
Combine the exponentials with base x using the properties of exponents. 
The − sign is put in front. The coefficient reduces to 1/3.
The identical factors of x^{ 3} in the numerator and denominator cancel.
The numerator contains no other factors so this time the 1 must be displayed.

After carrying out all the simplifications, the denominator equals 1, so we don’t have to display it. Thus the result is an ordinary expression, not an algebraic fraction. 
Factor the numerator and denominator. Cancel the common factor of x. 
Factor the numerator. Cancel the common factor of x − 2. 
Factor the numerator and factor a − sign out
of the denominator. Cancel the common factor of x − 2. Bring the − sign to the numerator and distribute it. 
Algebra Coach Exercises 