CHAPTER_ppt_7_4

# CHAPTER_ppt_7_4 - 5 Subtract the following rational...

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§ 7.4 Adding and Subtracting Rational Expressions with Unlike Denominators

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Martin-Gay, Beginning and Intermediate Algebra, 4ed 2 As stated in the previous section, to add or subtract rational expressions with different denominators, we have to change them to equivalent forms first. Unlike Denominators
Martin-Gay, Beginning and Intermediate Algebra, 4ed 3 Adding or Subtracting Rational Expressions with Unlike Denominators 1) Find the LCD of the rational expressions. 2) Rewrite each rational expression as an equivalent expression whose denominator is the LCD found in Step 1. 3) Add or subtract numerators and write the sum or difference over the common denominator. 4) Simplify or write the rational expression in simplest form. Unlike Denominators

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Martin-Gay, Beginning and Intermediate Algebra, 4ed 4 Add the following rational expressions. = + a a 6 8 7 15 a a 6 8 , 7 15 = + a a 6 7 8 7 7 6 15 6 = + a a 42 56 42 90 = a 42 146 a 21 73 Adding with Unlike Denominators Example:
Martin-Gay, Beginning and Intermediate Algebra, 4ed

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Unformatted text preview: 5 Subtract the following rational expressions. x x 2 6 3 , 6 2 5--=---x x 2 6 3 6 2 5 =-+-6 2 3 6 2 5 x x =-6 2 8 x =- ) 3 ( 2 2 2 2 x 3 4-x Subtracting with Unlike Denominators Example: Martin-Gay, Beginning and Intermediate Algebra, 4ed 6 Subtract the following rational expressions. 3 and 3 2 7-x =--3 3 2 7 x =----3 2 ) 3 2 ( 3 3 2 7 x x x =----3 2 9 6 3 2 7 x x x =-+-3 2 9 6 7 x x 3 2 6 16--x x Subtracting with Unlike Denominators Example: Martin-Gay, Beginning and Intermediate Algebra, 4ed 7 Add the following rational expressions. 6 5 , 6 4 2 2 + +--x x x x x = + + +--6 5 6 4 2 2 x x x x x = + + + +-) 2 )( 3 ( ) 2 )( 3 ( 4 x x x x x =-+ +-+ + +-+ ) 3 )( 2 )( 3 ( ) 3 ( ) 3 )( 2 )( 3 ( ) 3 ( 4 x x x x x x x x x = +-+-+ + ) 3 )( 3 )( 2 ( 3 12 4 2 x x x x x x ) 3 )( 3 )( 2 ( 12 2 +-+ + + x x x x x Adding with Unlike Denominators Example:...
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## This note was uploaded on 11/04/2011 for the course MATH 103 taught by Professor Alraban during the Fall '10 term at Montgomery College.

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CHAPTER_ppt_7_4 - 5 Subtract the following rational...

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