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robzoc: Senior | Next Rank: 100 Posts; Posts: 31; Joined: Tue Sep 16, 2008 8:29 am; Location: Brazil; GMAT Score:460

by robzoc » Fri Oct 17, 2008 8:22 am

need help for solving...

thanks

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Source: Beat The GMAT — Problem Solving | Fri Oct 17, 2008 8:22 am

vishubn: Legendary Member; Posts: 574; Joined: Sun Jun 01, 2008 8:48 am; Location: Bangalore; Thanked: 28 times

by vishubn » Fri Oct 17, 2008 8:48 am

Hi !
I am sure this problen has been solved many times! But i could find it myself either

neways !
2^((x+y)^2)/2^((x-y)^2)

2^a/2^b=2^(a-b)

powers simplication :

x^2+y^2+2xy-(x^2+y^2-2xy)

cancel outs and 4xy is left and xy=1

now it is 2^4=16

Vishu

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vivek.kapoor83: Legendary Member; Posts: 833; Joined: Mon Aug 04, 2008 1:56 am; Thanked: 13 times

by vivek.kapoor83 » Fri Oct 17, 2008 8:53 am

2^(x+y)sq - (x-y)sq
2^ (x+y+x-y) (x+y-x+y)
2^(2x)(2y)
2^4xy
xy=1
2^4 =16..ans

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