SIMPLIFYING RATIONAL EXPRESSIONS

An expression of the form f(x)/g(x) where f(x) and g(x) are two polynomials over the set of real numbers and g(x) ≠ 0 is called a rational expression.

Examples :

The following steps will be useful to simplify rational expressions. 

Step 1 :

Factor both numerator and denominator, if possible.

Step 2 :

Identify the common factors in both numerator and denominator. 

Step 3 :

Remove the common factors found in both numerator and denominator.

Simplify the following rational expressions :

Example 1 :

Answer :

Example 2 :

Answer :

Example 3 :

Answer :

Example 4 :

Answer :

Example 5 :

Answer :

Example 6 :

Solution :

Example 7 :

Answer :

Example 8 :

Answer :

Example 9 :

Answer :

Example 10 :

Answer :

Example 11 :

Answer :

Example 12 :

Answer :

Example 13 :

Answer :

Example 14 :

Answer :

Example 15 :

Answer :

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