O.G. variable.

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O.G. variable.

by vladmire » Mon Feb 02, 2009 4:39 pm
whats the quickest way to solve question number 225 on page 183 of the OG.11.

(x+1/x-1)^2. if x is replaced by 1/x everywhere in the expression above, then the resulting expression is equivalent to

a. (x+1/x-1)^2
b.(x-1/x+1)^2
c. x^2+1/1-x^2
d. x^2-1/x^2+1
e. -(x-1/x+1)^2

My problem lies in basics I guess I replace the x's but how do i get rid of the x's multiply by x? then I would get (1+x/1-x)^2 I'm lost
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by hardik.jadeja » Wed Feb 04, 2009 11:35 am
IMO A.

(1+x/1-x)^2 = (x+1/x-1)^2 since (x-y)^2=(y-x)^2 and (x+y)^2=(y+x)^2

HTH..