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mgb5e_ppt_7_2 - n m m n m m n m n m n m n m-Multiplying...

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§ 7.2 Multiplying and Dividing Rational Expressions
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Martin-Gay, Beginning Algebra, 5ed 2 Multiplying Rational Expressions Multiplying rational expressions when P, Q, R, and S are polynomials with Q 0 and S 0. QS PR S R Q P =
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Martin-Gay, Beginning Algebra, 5ed 3 Note that after multiplying such expressions, our result may not be in simplified form, so we use the following techniques. Multiplying Rational Expressions 1) Completely factor numerators and denominators. 2) Multiply numerators and multiply denominators. 3) Simplify or write the product in lowest terms by dividing out common factors. Multiplying Rational Expressions
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Martin-Gay, Beginning Algebra, 5ed 4 Multiply the following rational expressions. = 12 5 10 6 3 2 x x x 4 1 = 3 2 2 5 2 5 3 2 x x x x x x Multiplying Rational Expressions Example:
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Martin-Gay, Beginning Algebra, 5ed 5 Multiply the following rational expressions. = - + - mn m m n m n m 2 2 ) ( = - + - - ) ( ) (
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Unformatted text preview: ) ( ) ( ) )( ( n m m n m m n m n m n m n m +-Multiplying Rational Expressions Example: Martin-Gay, Beginning Algebra, 5ed 6 Dividing rational expressions when P, Q, R, and S are polynomials with Q ≠ 0, S ≠ 0 and R ≠ 0. QR PS R S Q P S R Q P = ⋅ = ÷ Dividing Rational Expressions Martin-Gay, Beginning Algebra, 5ed 7 When dividing rational expressions, first change the division into a multiplication problem, where you use the reciprocal of the divisor as the second factor. Then treat it as a multiplication problem (factor, multiply, simplify). Dividing Rational Expressions Martin-Gay, Beginning Algebra, 5ed 8 Divide the following rational expression. = + ÷ + 25 15 5 5 ) 3 ( 2 x x = + ⋅ + 15 5 25 5 ) 3 ( 2 x x = + ⋅ ⋅ ⋅ + + ) 3 ( 5 5 5 5 ) 3 )( 3 ( x x x 3 + x Dividing Rational Expressions Example:...
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