IA_GPS_25 - 1 Write each rational expression in lowest...

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R0907 a.s. http://faculty.valencia.cc.fl.us/ashaw INTERMEDIATE ALGEBRA GPS # 25 6.2 MULTIPLICATION AND DIVISION OF RATIONAL EXPRESSIONS NAME: Useful Guidelines: [ a , b , c , and d are nonzero real number.] * Simplifying Rational Expressions: b a c b c a = ! ! . Example: 5 3 ) 3 ( 5 ) 3 ( 3 b c c b = ! ! * Multiplying Rational Expressions: bd ac d c b a = ! . Example: ) 1 )( 2 ( ) 7 )( 3 ( ) 1 ( ) 7 ( ) 2 ( ) 3 ( + + + + = + + ! + + b a a b b a a b * Dividing Rational Expressions: c d b a d c b a ! = ÷ . Example: ) 2 ( 5 ) 3 ( 3 ) 3 ( ) 2 ( 5 3 + + = + + ÷ a b b a b a b a * Writing a Rational Expression in Lowest Terms : Factor both numerator and denominator to find their Greatest Common Factor and apply the Fundamental Property.
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Unformatted text preview: 1. Write each rational expression in lowest terms. a) b b 3 33 3 b) xy y x 5 45 3 2 c) 5 15 3 9 ! ! y y d) 2 4 16 k k ! ! 2) Multiply and divide the following as indicated: a) 6 2 5 4 5 2 2 k m m k ! b) ( 2)( 3) ( 1)( 3) ( 8)( 1) ( 2)( 3) x x x x x x x x ! + + ! " + + ! ! c) ( 7)( 3) ( 1)( 3) ( 2)( 1) ( 2)( 1) x x x x x x x x ! ! + ! ÷ + ! + ! d) 2 2 2 2 1 2 3 5 2 3 7 2 y y y y y y y ! + ! ÷ ! ! + + e) 5 2 7 9 3 x x x x x ! ÷ ! + f) 3 4 15 16 7 4 3 12 5 3 2 2 2 2 + + ! + ÷ ! ! ! + k k k k k k k k...
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This note was uploaded on 10/18/2011 for the course MAC 1103 taught by Professor Shaw during the Summer '11 term at Valencia.

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