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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.
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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:
×5 ×4 ×5 ×4 Build up Fractions to LCD
Add Numerators And Reduce if Needed
Rational Expressions • Example:
DENOMINATORS Assemble LCD
( x 1 ) ( ( ( x x x 1 1 1 ) ) ) + + - - ( ) FACTOREDDENOMINATORS LCD = ( x + 1 )( x - 1 )( x - 1 ) Build up Fractions to LCD
Summary of Steps • Factor denominators • Assemble LCD • Build up Fractions • Add Numerators • Simplify Numerator
Try these examples 1) 2) 3)