200^2 – 2(200)(199) + 199^2 = : GMAT Data Sufficiency (DS)
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# 200^2 – 2(200)(199) + 199^2 =

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Moderator
Joined: 01 Sep 2010
Posts: 3091
Followers: 785

Kudos [?]: 6540 [0], given: 1012

200^2 – 2(200)(199) + 199^2 = [#permalink]

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17 Sep 2012, 14:23
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Difficulty:

15% (low)

Question Stats:

86% (01:31) correct 14% (01:30) wrong based on 29 sessions

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200^2 – 2(200)(199) + 199^2 =

(A) –79,201
(B) –200
(C) 1
(D) 200
(E) 79,999
[Reveal] Spoiler: OA

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Last edited by Bunuel on 18 Sep 2012, 05:15, edited 1 time in total.
Edited the question.
Math Expert
Joined: 02 Sep 2009
Posts: 36596
Followers: 7093

Kudos [?]: 93419 [1] , given: 10563

Re: 200² – 2(200)(199) + 199² = [#permalink]

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17 Sep 2012, 14:33
1
KUDOS
Expert's post
carcass wrote:
200² – 2(200)(199) + 199² =

(A) –79,201
(B) –200
(C) 1
(D) 200
(E) 79,999

$$a^2-2ab+b^2=(a-b)^2$$, therefore $$200^2-2(200)(199) + 199^2=(200-199)^2=1$$.

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Re: 200² – 2(200)(199) + 199² =   [#permalink] 17 Sep 2012, 14:33
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