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(99999)^2-1^2

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Senior Manager
Senior Manager
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G
Joined: 19 Apr 2016
Posts: 275
Location: India
GMAT 1: 570 Q48 V22
GMAT 2: 640 Q49 V28
GPA: 3.5
WE: Web Development (Computer Software)
(99999)^2-1^2 [#permalink]

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New post 22 Feb 2017, 23:34
TheRob wrote:
\(99999^2-1^2\) =

A) \(10^5\)
B) \(10^{10}\)
C) \((10^5)(10^5-2)\)
D) \((10^5)(10-2)\)
E) \((10^{10})(10^{10}-2)\)


\((a^2-b^2) =(a+b)(a-b)\)

\(99999^2-1^2\)

= (99999-1)(99999+1)

= (100000-2)(100000)

\(= (10^5-2)(10^5)\)

Hence Option C is correct
Hit Kudos if you liked it 8-)
(99999)^2-1^2   [#permalink] 22 Feb 2017, 23:34

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