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99,999^2 - 1^2 =

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Joined: 10 Jan 2013
Posts: 11
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Kudos [?]: 1 [0], given: 19

99,999^2 - 1^2 = [#permalink] New post 11 Feb 2013, 07:34
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D
E

Difficulty:

  35% (medium)

Question Stats:

71% (01:45) correct 29% (01:11) wrong based on 45 sessions
99,999^2 - 1^2 =

A. 10^10 - 2
B. (10^5 – 2)^2
C. 10^4(10^5 – 2)
D. 10^5(10^4 – 2)
E. 10^5(10^5 – 2)
[Reveal] Spoiler: OA

Last edited by Bunuel on 11 Feb 2013, 07:38, edited 1 time in total.
Renamed the topic and edited the question.
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Joined: 02 Sep 2009
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Kudos [?]: 28727 [0], given: 2824

Re: 99,999^2 - 1^2 = [#permalink] New post 11 Feb 2013, 07:39
Expert's post
4112019 wrote:
99,999^2 - 1^2 =

A. 10^10 - 2
B. (10^5 – 2)^2
C. 10^4(10^5 – 2)
D. 10^5(10^4 – 2)
E. 10^5(10^5 – 2)


99,999^2 - 1^2 =

A. 10^10 - 2
B. (10^5 – 2)^2
C. 10^4(10^5 – 2)
D. 10^5(10^4 – 2)
E. 10^5(10^5 – 2)

Apply a^2-b^2=(a+b)(a-b):

99,999^2-1^2 =(99,999+1)(99,999-1)=10^5(10^5-1-1)=10^5(10^5-2)

Answer: E.

Hope it's clear.
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Re: 99,999^2 - 1^2 =   [#permalink] 11 Feb 2013, 07:39
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99,999^2 - 1^2 =

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