How is 1+(x^2)/(1-(x^2)) = -1 +2/(1-x^2)? Please leave a detailed explanation

1 Answer
Hammer
Jul 13, 2018

Consider the following expression in terms of x:

E(x)=1+x21−x2=−−1−x21−x2

We see that adding 2 to the numerator makes it the same as the denominator. In order to keep it equivalent, we have to substract 2 afterwards:

E(x)=−2−1−x2−21−x2=−1−x2−21−x2

E(x)=−[1−x21−x2−21−x2]

E(x)=−[1−21−x2]=−1+21−x2

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