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(–x + y)(–y + x) = x2 – y2 y2 – x2 0 –(x – y)2 (y – x)2

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CEO
CEO
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Joined: 07 Jun 2014
Posts: 3819
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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Kudos [?]: 1217 [0], given: 257

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(–x + y)(–y + x) = x2 – y2 y2 – x2 0 –(x – y)2 (y – x)2 [#permalink] New post 15 Apr 2018, 03:49
Expert's post
00:00

Question Stats:

100% (00:21) correct 0% (00:00) wrong based on 1 sessions
(-x + y)(-y + x) =

A. x2 - y2
B. y^2 - x^2
C. 0
D. -(x - y)^2
E. (y - x)^2

Drill 2
Question: 7
Page: 511

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1 KUDOS received
Senior Manager
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Joined: 07 Jan 2018
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Kudos [?]: 326 [1] , given: 55

Re: (–x + y)(–y + x) = x2 – y2 y2 – x2 0 –(x – y)2 (y – x)2 [#permalink] New post 16 Apr 2018, 02:29
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expand the expression

(-x + y)(-y + x) = xy -x^2 -y^2 + xy
or, (-x + y)(-y + x) = 2xy -x^2 - y^2
or, (-x + y)(-y + x) = -(-2xy + x^2 + y^2)
The expression inside the bracket is similar to (a-b)^2 so in that format
The expression reduces to -(x - y)^2
option D
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This is my response to the question and may be incorrect. Feel free to rectify any mistakes

CEO
CEO
User avatar
Joined: 07 Jun 2014
Posts: 3819
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 72

Kudos [?]: 1217 [0], given: 257

CAT Tests
Re: (–x + y)(–y + x) = x2 – y2 y2 – x2 0 –(x – y)2 (y – x)2 [#permalink] New post 22 Apr 2018, 12:16
Expert's post
Explanation

Factor out -1 from the parentheses on the left and rearrange the expression in the parentheses on the right to get -1(x - y) (x - y) = -(x - y)^2. The answer is choice (D).
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Sandy
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Re: (–x + y)(–y + x) = x2 – y2 y2 – x2 0 –(x – y)2 (y – x)2   [#permalink] 22 Apr 2018, 12:16
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