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  • $\begingroup$ A very good and clear example. Thank you! But this code didn't work for this expression. f=Sin[\[Alpha]] Cos[\[Beta]] Sin[\[Gamma]] x^2 y + Sin[\[Beta]] Cos[\[Alpha]] Sin[\[Gamma]]^4 x^2 y + Sin[\[Alpha]]^2 Cos[\[Beta]] x y z + (Sin[\[Alpha]] Cos[\[Beta]] + 1) x^3 y^2 z^5. Terms with x^2 y not merged, although first we need to take this term out of the bracket $\endgroup$ Commented Jan 23, 2022 at 8:20
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    $\begingroup$ I think the edit does what you want; however, it is best to provide the desired output in addition to the input. $\endgroup$ Commented Jan 23, 2022 at 16:28
  • $\begingroup$ Bob, assembly (bracketing) can be done with a simpler command. Other than that, your vectorization code is perfectly functional. I accept it as an answer. Total@MonomialList[f, {x, y, z}] $\endgroup$ Commented Jan 23, 2022 at 16:43