1300_section5o2 - 3 1 2 2 + +-÷ +--x x x x x x Multiply 1...

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Math 1300 Section 5.2 Notes 1 5.2 Multiplication and Division of Rational Expressions Multiplication Multiplication of rational expressions is done similar to multiplication of fractions. When multiplying two fractions, the product of the numerators is the answer’s numerator. The product of the denominators is the answer’s denominator. This is the same rule for the multiplication of rational expressions: put the product of the numerators over the product of the denominators. If possible, cancel out common factors before multiplying. Examples: Find the product: ab a ba ab 3 2 4 2 3 . Find the product: x x 2 5 6 4 . Multiply: 1 4 2 3 + - + - x x x x ( 29 ( 29 ( 29( 29 2 3 12 7 1 2 4 3 1 4 2 3 2 2 + + + - = + + - - = + - + - x x x x x x x x x x x x Find the product: 4 3 9 3 2 2 - + - + x x x x
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Math 1300 Section 5.2 Notes 2 Division The rule for division of rational expressions is the same as the rule for the division of fractions. To find the quotient of two fractions, multiply the first fraction by the reciprocal of the second fraction. a c a d ad b d b c bc ÷ = × = Examples: Divide 3 2 1 2 2 3 1 2 2 + + - ÷ + - - x x x x x x 3 2 1 2 2
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Unformatted text preview: 3 1 2 2 + +-÷ +--x x x x x x Multiply 1 st by reciprocal of 2 nd : 1 2 3 2 2 3 1 2 2 +-+ ⋅ +--= x x x x x x Rewrite numerator over denominator: ) 1 2 )( 2 3 ( ) 3 2 )( 1 ( 2 2 +-+-+-= x x x x x x Factor numerator & denominator: 2 ) 1 )( 2 )( 1 ( ) 3 2 )( 1 (---+-= x x x x x Cancel out GCFs: 2 ) 1 )( 2 )( 1 ( ) 3 2 )( 1 (---+-= x x x x x Rewrite answer: 2 ) 1 )( 2 ( 3 2--+ = x x x Math 1300 Section 5.2 Notes 3 Perform the appropriate operation. Leave your answer in factored form. 1. 3 5 4 3 2 4 2 y x xy xy y x ⋅ 2. 5 1 4 ) 5 ( + + ⋅ + x x x 3. 1 4 6 2 5 5-⋅ +-x x x x 4. 1 8 4 4 2 2 3 2-+ ⋅ + +-x x x x x 5. 6 36 2 2 + ÷--x x x x x Math 1300 Section 5.2 Notes 4 6. 2 3 1 2 2 + +-÷--x x x y x y x 7. 3 4 9 1 2 2 +-÷-+ x x x x 8. 2 4 15 6 ) 5 2 (--÷-x x x 9. -- --+ + 16 9 8 2 6 5 2 2 2 2 x x x x x x 10. 2 2 3 4 8 12 15 a b a b...
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This note was uploaded on 02/21/2012 for the course MATH 1300 taught by Professor Staff during the Spring '08 term at University of Houston.

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1300_section5o2 - 3 1 2 2 + +-÷ +--x x x x x x Multiply 1...

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