Explanation Given: The given expression is 2 y 2 − 4 + y y 2 + 4 y + 4 . Formula used: Algebraic identity, a 2 + 2 a b + b 2 = ( a + b ) 2 and a 2 − b 2 = ( a + b ) ( a − b ) . Calculation: Consider the expression, 2 y 2 − 4 + y y 2 + 4 y + 4 First simplify the expressions y 2 + 4 y + 4 and y 2 − 4 . Recall the property, a 2 + 2 a b + b 2 = ( a + b ) 2 . y 2 + 4 y + 4 = ( y + 2 ) 2 Recall the property, a 2 − b 2 = ( a + b ) ( a − b ) . y 2 − 4 = ( y + 2 ) ( y − 2 ) The lowest common denominator of the expression 2 ( y + 2 ) ( y − 2 ) + y ( y + 2 ) 2 is ( y + 2 ) 2 ( y − 2 )

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ISBN: 9780134178967

Author: John Tobey Jr., Jeffrey Slater, Jamie Blair, Jenny Crawford

Publisher: PEARSON

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Chapter 6, Problem 14RP

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To calculate: The simplify form of the expression 2y2−4+yy2+4y+4.

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Chapter 6, Problem 13RP

Chapter 6, Problem 15RP

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Chapter 6 Solutions

Intermediate Algebra (8th Edition)

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 simplify form of the expression 2 y 2 − 4 + y y 2 + 4 y + 4 .

Solution Summary: The author explains how to calculate the simplify form of the expression 2y 2+4y+ 4.

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To calculate: The simplify form of the expression 2y2−4+yy2+4y+4.

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Chapter 6 Solutions