Given, (x+1/x -1)^2
If x not equal to 0, and if x is replaced by 1/x everywhere in the expression above, then the resulting expression is equivalent to?
[answer choices are in the image, sorry will take too long to type them all out! lol
![Wink ;)](./images/smilies/wink.png)
![Image](https://s3.postimage.org/dyc79.jpg)
This is what I've done so far, dunno how to simplify beyond a point....
(x+1/x -1)^2 become [(1/x + 1)/(1/x -1)]^2 => [(1+x/x) / (1-x/x) ] ^2
=> [1+x / x * x/1-x ] ^2 => [(1 +x)/(1-x)]^2 => NOW WHAT?
How do i manipulate [(1+x)/(1-x)]^2 to become one of the answer choices????? HELP!
btw answer is A.