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 :
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Example 3 :
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Example 6 :
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Example 15 :
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