Explanation Given: The expression, 2 x 2 + 5 x + 6 + 3 x x 2 + 6 x + 9 . Calculation: Consider the expression 2 x 2 + 5 x + 6 + 3 x x 2 + 6 x + 9 . Factorizing x 2 + 5 x + 6 , x 2 + 5 x + 6 = x 2 + 2 x + 3 x + 6 = x ( x + 2 ) + 3 ( x + 2 ) = ( x + 3 ) ( x + 2 ) Factorizing x 2 + 6 x + 9 , x 2 + 6 x + 9 = x 2 + 3 x + 3 x + 9 = x ( x + 3 ) + 3 ( x + 3 ) = ( x + 3 ) ( x + 3 ) = ( x + 3 ) 2 Therefore, we have, 2 x 2 + 5 x + 6 + 3 x x 2 + 6 x + 9 = 2 ( x + 3 ) ( x + 2 ) + 3 x ( x + 3 ) 2 = 2 ( x + 3 ) ( x + 2 ) + 3 x ( x + 3 ) 2 The least common denominator is ( x + 3 ) 2 ( x + 2 )

Pearson eText for Intermediate Algebra -- Instant Access (Pearson+)

8th Edition

ISBN: 9780137553464

Author: John Tobey, Jeffrey Slater

Publisher: PEARSON+

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Chapter 6, Problem 6T

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To calculate: The simplified form of the expression 2x2+5x+6+3xx2+6x+9.

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Chapter 6, Problem 5T

Chapter 6, Problem 7T

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Pearson eText for Intermediate Algebra -- Instant Access (Pearson+)

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The simplified form of the expression 2 x 2 + 5 x + 6 + 3 x x 2 + 6 x + 9 .

Solution Summary: The author explains how to calculate the simplified form of the expression 2x2.

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Chapter 6 Solutions