Review Problems 1) 2) 3)
Add/Subtract Rational Expressions Objective-to recall procedures used to add and subtract fractions, and apply to rational expressions
Review: Adding Fractions You can only add like to like Same Denominators
Different Denominators Make them the same find a common denominator The product of all denominators is always a common denominator But not always the least common denominator
Finding the LCD Example:
Factor the Denominators
Assemble LCD
Build up Fractions to LCD ×5 ×4
Add Numerators And Reduce if Needed
Rational Expressions Example:
Factor the Denominators
Assemble LCD DENOMINATORS
Build up Fractions to LCD ) ( x - ( ) 1 x + ( ) 1 FACTORED DENOMINATORS LCD x = + - ( )( ) 1
Add Numerators
Simplify Numerator
Summary of Steps Factor denominators Assemble LCD Build up Fractions Add Numerators Simplify Numerator
Try these examples 1) 2) 3)
Answers