Rational Expressions
5. Rational Expressions:
(1).Def:A rational expression is the quotient of two polynomials.
Example: 
(2)Domain: the set of all real numbers for which the expression is defined.
For a rational expression, the domain is the set of the numbers that make the
denominator
nonzero.
Example:

so the domain of this expression is

(3)Simplifying, Multiplying, and Dividing rational expressions

Example:

(3)Adding and Subtracting Rational Expressions

Example:


* Strategy:(1)simplify. (2) find the least common
denominator (LCD)
6 : Radical Notation and Rational Exponents:
(1)n-th :
Example: 
(2)(i)if n is even: 
(ii) if n is odd:

Example: Simplify

(3):Rational Exponents:
(i) Def: , where m and n are integers

Example:

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