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Am I missing something here? Thanks for any help! SN

enter image description here

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1 Answer 1

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This could be a bug. For now, you can use FullSimplify instead of Simplify

f = -z*Sqrt[-((-1 + z)*z)]
g = Sqrt[-((-1 + z)*z^3)]
Simplify[f + g, Assumptions -> 0 <= z <= 1]

Mathematica graphics

FullSimplify[f + g, Assumptions -> 0 <= z <= 1]

  (* 0 *)

And please post plain text code next time. Hard to copy all this from an image and could make mistake.

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    $\begingroup$ It seems that the bug might be linked to Simplify[f + g, Assumptions -> 0 <= z] not calling Log internally contrarily to the other cases. My claim is based on DeleteDuplicates@ Cases[Trace[Simplify[f + g, Assumptions -> 0 <= z], TraceInternal -> True], _Log, All] and comparing with FullSimplify and including 0 <= z<= 1 with Simplify $\endgroup$ Dec 4, 2022 at 13:41

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