I am new to Mathematica. So I am sorry if the question seems elementary.
I wanted to simplify an expression but it seems that some radicals ($\sqrt{u}$ and $\sqrt{u-1}$) in numerator or denominator do not cancel. What should I do?
f = Sqrt[u (-1 + u^2) - (-1 + u^2)^2] ((u (-1 + 2 u))/(
2 Sqrt[-u + u^2]) + Sqrt[-u + u^2])
FullSimplify[f]
and the result is
My final goal is to get
$$f = {1 \over 2}\sqrt { - u\left( {u + 1} \right)\left( {{u^2} - u - 1} \right)} \left( {4u - 3} \right)$$
u
positive? If so, is it greater than 1? This matters in the cancellations. $\endgroup$FullSimplify
, esp. the parts that explain this summary, "FullSimplify[expr,assum]
does simplification using assumptions."? $\endgroup$