Explanation Factor the expression x 2 − y 2 + x − y by grouping as follows. It is observed that, there is no common factor to all the four terms of the expression x 2 − y 2 + x − y . The expression is factored by grouping the terms containing the common factors. x 2 − y 2 + x − y = ( x 2 − y 2 ) + ( x − y ) It is noted that, the expression ( x 2 − y 2 ) is the difference of two squares Therefore, the expression can be written as ( x ) 2 − ( y ) 2 . Factor the expression ( x 2 − y 2 ) as follows. ( x 2 − y 2 ) = ( x ) 2 − ( y ) 2 = ( x + y ) ( x − y ) [ ∵ a 2 − b 2 = ( a + b ) ( a − b ) ] Thus, the expression ( x 2 − y 2 ) is factored as ( x + y ) ( x − y )

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Chapter 6.1, Problem 61E

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To factor: The expression x2−y2+x−y by grouping.

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Chapter 6.1, Problem 60E

Chapter 6.1, Problem 62E

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Chapter 6 Solutions

Pearson eText for Basic Technical Mathematics with Calculus -- Instant Access (Pearson+)

Ch. 6.1 - Prob. 1PE Ch. 6.1 - Prob. 2PE Ch. 6.1 - Prob. 3PE Ch. 6.1 - Prob. 4PE Ch. 6.1 - Prob. 1E Ch. 6.1 - Prob. 2E Ch. 6.1 - Prob. 3E Ch. 6.1 - Prob. 4E Ch. 6.1 - Prob. 5E Ch. 6.1 - Prob. 6E

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To factor: The expression x 2 − y 2 + x − y by grouping.

Solution Summary: The author explains how the expression is factored by grouping the terms containing the common factors.

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To factor: The expression x2−y2+x−y by grouping.

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Chapter 6 Solutions