Re: [Maxima-discuss] Is there a way to expand ((1 + y )^ (1/n)) for y and n > 0?

[Susmita/Rajib <bkp...@gm...>]

Good afternoon, Sir.

Is my version of maxima creating a problem? Because I can't expand.

I wanted a form like the link below —  the usual Binomial Equation
with summation notation usually come across in books on the LHS — to
the un-compacting of all terms (i.e., n+1 terms) for any y and
integral n. Also, the infinite terms truncated to, say 10 terms, for n
as rational and |y| <1.

Like this expanded form.

https://gradestack.com/JEE-Main-2015-Complete/Binomial-Theorem/Binomial-Theorem-for-Any/19662-4056-42813-study-wtw

=================================================
 		 		My input outputs are as follows:
=================================================
/* [wxMaxima batch file version 1] [ DO NOT EDIT BY HAND! ]*/
/* [ Created with wxMaxima version 12.04.0 ] */

/* [wxMaxima: input   start ] */
assume ( 0 < y , y < 1, n > 0);
eq1 = ((1 + y )^ (1/n));
/* [wxMaxima: input   end   ] */ working

/* [wxMaxima: input   start ] */
subst( n=10, %o2 );
/* [wxMaxima: input   end   ] */ working

/* [wxMaxima: input   start ] */
expand((%o3));
/* [wxMaxima: input   end   ] */ fails. Returns same o3.
=================================================

 		 		OR

=================================================
 		 		Alternatively:
=================================================
/* [wxMaxima batch file version 1] [ DO NOT EDIT BY HAND! ]*/
/* [ Created with wxMaxima version 12.04.0 ] */

/* [wxMaxima: input   start ] */
assume ( 0 < y , y < 1, n > 0);
((1 + y )^ (1/n));
/* [wxMaxima: input   end   ] */ working

/* [wxMaxima: input   start ] */
subst( n=10, %o2 );
/* [wxMaxima: input   end   ] */  working

/* [wxMaxima: input   start ] */
expand((%o3));
/* [wxMaxima: input   end   ] */  fails. Returns same o3.
=================================================

Neither of the 3rd step, expand((%o3)); , works for my version.

Am I going wrong anywhere?

Regards,
Rajib