I have the following expression in Mathematica:
$$\beta^{\frac{1}{(1 - \beta)}} - \beta^{\frac{\beta}{(1 - \beta)}}$$
I want to express it as
$$\beta^{\frac{\beta}{(1 - \beta)}}\left (\beta -1 \right)$$
I tried Factor
and Simplify
without success.
I would appreciate any advise.