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 LCDxxx  ()( )111 x  ()1 x  ()1)(x  ()1 x  ()1 FACTORED DENOMINATORS

Add Numerators

Simplify Numerator

Summary of Steps 1.Factor denominators 2.Assemble LCD 3.Build up Fractions 4.Add Numerators 5.Simplify Numerator

Try these examples 1) 2) 3)

Answers