dividing exponents (gmat prep q)

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karenmeow: Junior | Next Rank: 30 Posts; Posts: 12; Joined: Fri Jun 27, 2008 3:29 pm

by karenmeow » Sat Jul 19, 2008 10:24 am

1001^2 - 999^2 =
101^2 - 99^2

10
20
40
80
100

answer: 10

how do you do this problem???

thanks!

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Source: Beat The GMAT — Problem Solving | Sat Jul 19, 2008 10:24 am

preetha_85: Senior | Next Rank: 100 Posts; Posts: 95; Joined: Sun Jul 06, 2008 6:41 am; Location: INDIA; Thanked: 2 times

by preetha_85 » Sat Jul 19, 2008 10:39 am

Hi

This is of the form : a^2-b^2.. this can be expanded as :(a-b)(a+b)

hence : 2(2000)/2(200)
=10.

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