Originally Posted by
Coach Thank you!
But I don't understand, why do we multiply by $\displaystyle 1-x$ ?
Because I almost got to the same conclusion by using this method
$\displaystyle X:1-\frac{1}{1-x}$
then I multiplied $\displaystyle 1*(1-x)$ to make the denominators the same.
Then I followed the standard procedure for dividing fractions, in other words I multiplied x by the reciprocal $\displaystyle \frac{1-x}{-x}$
and then I also got $\displaystyle \frac{x(1-x)}{x}$
but then I don't understand, how one gets rid of the minus below?