Explanation Given information: An expression, x 2 − y 2 ( x − y ) 2 ⋅ x 2 − 2 x y + y 2 x 2 − 4 x y − 5 y 2 Formula used: Multiplication of two terms, A B ⋅ C D = A C B D The property of difference of square of two number, a 2 − b 2 = ( a + b ) ( a − b ) , The property of square of difference of two number, ( a − b ) 2 = ( a 2 − 2 a b + b 2 ) Calculation: Consider the rational expression as below. x 2 − y 2 ( x − y ) 2 ⋅ x 2 − 2 x y + y 2 x 2 − 4 x y − 5 y 2 Perform multiplication as below. Thus, x 2 − y 2 ( x − y ) 2 ⋅ x 2 − 2 x y + y 2 x 2 − 4 x y − 5 y 2 = ( x 2 − y 2 ) ⋅ ( x 2 − 2 x y + y 2 ) ( x − y ) 2 ⋅ ( x 2 − 4 x y − 5 y 2 ) Use the identity properties a 2 − b 2 = ( a + b ) ( a − b ) , ( a − b ) 2 = ( a 2 − 2 a b + b 2 ) to factor further. Thus, x 2 − y 2 ( x − y ) 2 ⋅ x 2 − 2 x y + y 2 x 2 − 4 x y − 5 y 2 = ( x 2 − y 2 ) ⋅ ( x 2 − 2 x y + y 2 ) ( x − y ) 2 ⋅ ( x 2 − 4 x y − 5 y 2 ) =

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ISBN: 9781323235911

Author: BITTINGER

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Chapter 12.1, Problem 79ES

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To calculate: The simplified form of the expression x2−y2(x−y)2⋅x2−2xy+y2x2−4xy−5y2.

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Chapter 12.1, Problem 78ES

Chapter 12.1, Problem 80ES

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Ch. 12.1 - Objective 11.3a: Factor trinomials of the type...Ch. 12.1 - Prob. 2SR Ch. 12.1 - Prob. 1DE Ch. 12.1 - Prob. 2DE Ch. 12.1 - Prob. 3DE Ch. 12.1 - Prob. 4DE Ch. 12.1 - Prob. 5DE Ch. 12.1 - Prob. 6DE Ch. 12.1 - Prob. 7DE Ch. 12.1 - Prob. 8DE

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The simplified form of the expression x 2 − y 2 ( x − y ) 2 ⋅ x 2 − 2 x y + y 2 x 2 − 4 x y − 5 y 2 .

Solution Summary: The author explains how to calculate the simplified form of the expression x2-y2.

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To calculate: The simplified form of the expression x2−y2(x−y)2⋅x2−2xy+y2x2−4xy−5y2.

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Chapter 12 Solutions