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99,999^2 - 1^2 =

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

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Question Stats:

73% (01:54) correct 27% (01:39) wrong based on 114 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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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] New post 13 Mar 2015, 02:44
Hello from the GMAT Club BumpBot!

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Re: 99,999^2 - 1^2 =   [#permalink] 13 Mar 2015, 02:44
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