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Real Numbers & Radicals

Basic Algebra & Polynomials

Linear Equations

Inequalities & Absolute Value

Rational Expressions 1

Rat'l. Exp. 2 - mult&div

Rat'l. Exp. 3 - add&subt

Exponents

Slope & Equations of Lines

Review&Test

 

jdsmathnotes

 


UNIT 1  : ALGEBRA PREP

LESSON 6: RATIONAL EXPRESSIONS PART 2

 

Multiplying Rational Expressions:

           

Text Box: Multiplying Rational Expressions:
·	Factor the numerators and denominators of all expressions if possible
·	Reduce to lowest terms by dividing out common factors
·	Write answer as a single rational expression
·	State any restrictions – remember the denominators cannot equal 0.
 

 

 

 

 

 

 

 

 


Example 1:

a)                                 b)                           c)                                 

Solution:

a)                                     ** Multiply (numerator x numerator) and (denominator x denominator)

                                                                                                ** Reduce to lowest terms

                                                                                                ** State restrictions

 

 

b)                    ** Factor numerator and denominator

                                                                                                ** Divide out common factors

                                                                                                ** State restrictions                                                                 

 

c)

 

 

Dividing Rational Expressions:

 

 

Text Box: Dividing Rational Expressions:
·	Factor the numerators and denominators of all expressions if possible
·	Multiply by the reciprocal of the second expression
·	Reduce to lowest terms by dividing out common factors
·	Write answer as a single rational expression
·	State any restrictions – remember the denominator cannot equal zero in the first expression and neither the numerator nor the denominator can equal zero in the second expression.
 


           

 

 

 

 

 

 

 

 

 

Example 2:

                                                               

 

Solution:

 

 

           

 

 

 

           

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