Explanation Given: The complex fraction is ( 2 y 2 − 9 ) ( 3 y + 3 + 1 ) . Formula used: The algebraic identity used is, ( a 2 − b 2 ) = ( a + b ) ( a − b ) For polynomials a , b , c , d , a b ÷ c d = a b × d c where b , c , d ≠ 0 . Calculation: The provided complex fraction is ( 2 y 2 − 9 ) ( 3 y + 3 + 1 ) Now, simplify the numerator of the fraction ( 2 y 2 − 9 ) ( 3 y + 3 + 1 ) which is, 2 y 2 − 9 Use the algebraic identity, ( a 2 − b 2 ) = ( a + b ) ( a − b ) in the above equation, 2 y 2 − 9 = 2 ( y + 3 ) ( y − 3 ) Further, simplify the denominator of the fraction ( 2 y 2 − 9 ) ( 3 y + 3 + 1 ) which is, 3 y + 3 + 1 The least common multiple for the above equation is y + 3

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Chapter 6.3, Problem 9E

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To calculate: The simplified form of the complex fraction (2y2−9)(3y+3+1).

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Chapter 6.3, Problem 8E

Chapter 6.3, Problem 10E

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Chapter 6 Solutions

INTERMEDIATE ALGEBRA - 18 WEEK MML CODE

Ch. 6.1 - Find the domain of each of the following rational...Ch. 6.1 - Find the domain of each of the following rational...Ch. 6.1 - Find the domain of each of the following rational...Ch. 6.1 - Prob. 4E Ch. 6.1 - Simplify completely. − 18 x 4 y 12 x 2 y 6 Ch. 6.1 - Simplify completely. − 7 x y 2 28 x 5 y Ch. 6.1 - Prob. 7E Ch. 6.1 - Simplify completely. 24 x 2 − 4 x 4 x 2 − 8 x Ch. 6.1 - Simplify completely. 8 x 2 28 x 2 + 4 x Ch. 6.1 - Simplify completely. 30 x 2 6 x 2 + 18 x

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The simplified form of the complex fraction ( 2 y 2 − 9 ) ( 3 y + 3 + 1 ) .

Solution Summary: The author explains how to calculate the simplified form of the complex tion (a2-b

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To calculate: The simplified form of the complex fraction (2y2−9)(3y+3+1).

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Chapter 6 Solutions