If x*y = xy – 2(x + y) for all integers x and y, then 2* (–3) = : GMAT Problem Solving (PS)
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If x*y = xy – 2(x + y) for all integers x and y, then 2* (–3) =

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If x*y = xy – 2(x + y) for all integers x and y, then 2* (–3) = [#permalink]

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New post 18 Aug 2011, 10:47
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If x*y = xy – 2(x + y) for all integers x and y, then 2* (–3) =

(A) –16
(B) –11
(C) –4
(D) 4
(E) 16
[Reveal] Spoiler: OA
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Re: If x*y = xy – 2(x + y) for all integers x and y, then 2* (–3) = [#permalink]

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New post 18 Aug 2011, 10:55
The quickest (rather only) way is to apply the given formula:

2*(-3) = 2*(-3) - 2 (2 + (-3) ) = -6 +2 = -4

Option (C)
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Re: If x*y = xy – 2(x + y) for all integers x and y, then 2* (–3) = [#permalink]

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New post 18 Aug 2011, 12:22
2*(-3) = -6 -2(2-3) = -6 - 4+6 = -4 Ans.
No other quickest way.
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Re: If x*y = xy – 2(x + y) for all integers x and y, then 2* (–3) = [#permalink]

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New post 18 Aug 2011, 19:30
as per the expression 2*-3 = -6-(2*(2-3)) =-4

Answer is C.
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Re: If x*y = xy – 2(x + y) for all integers x and y, then 2* (–3) = [#permalink]

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New post 23 Jan 2016, 02:48
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Re: If x*y = xy – 2(x + y) for all integers x and y, then 2* (–3) =   [#permalink] 23 Jan 2016, 02:48
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