2022-09-28

Maple: Dividing polynomials

I am trying to simplify or approximate the following so that it's not in fraction form: [1]: https://i.stack.imgur.com/HH3wR.png

I've tried simplify, factor, expand... they all stay in fraction form. I found this: https://www.maplesoft.com/support/help/Maple/view.aspx?path=PolynomialTools/Approximate/Divide&cid=185 which I thought would be perfect but it's not working.

Basically, I have

253704*q^(7/2)-475136*q^4+825264*q^(9/2)-1284096*q^5+1938336*q^(11/2)-2973696*q
^6+4437312*q^(13/2)-6107136*q^7+8118024*q^(15/2)-11354112*q^8+15653352*q^(17/2)
-19802112*q^9+24832944*q^(19/2)

as the numerator and

836*q^9+594*q^8-648*q^7-418*q^6+540*q^5-99*q^4-88*q^3+54*q^2-12*q+1

as the denominator. I am trying to get an answer in polynomial form - but instead I get

(1/q^(1/2)+264*q^(1/2)-2048*q+7944*q^(3/2)-24576*q^2+64416*q^(5/2)-135168*q^3+
253704*q^(7/2)-475136*q^4+825264*q^(9/2)-1284096*q^5+1938336*q^(11/2)-2973696*q
^6+4437312*q^(13/2)-6107136*q^7+8118024*q^(15/2)-11354112*q^8+15653352*q^(17/2)
-19802112*q^9+24832944*q^(19/2))/(836*q^9+594*q^8-648*q^7-418*q^6+540*q^5-99*q^
4-88*q^3+54*q^2-12*q+1)

which is just one poly over the other.

Is there a way to do this?

Let me know if you have ideas!



No comments:

Post a Comment