Show that the obviously different functions {F_1}(x)=(1)/(1-x) and {F_2}(x)=(x)/(1-x) are both

Question: Show that the obviously different functions

\[{{F}_{1}}\left( x \right)=\frac{1}{1-x}\text{ and }{{F}_{2}}\left( x \right)=\frac{x}{1-x}\]

are both antiderivatives of $f\left( x \right)=\frac{1}{{{\left( 1-x \right)}^{2}}}$. What is the relationship between ${{F}_{1}}\left( x \right)$ and ${{F}_{2}}\left( x \right)$.