More Chain Rule questions



* Ronald Modesitt <rmodesi at msn.com> [2008-05-28 13:26:27 -0600]:

> All,
> 
> I have the function
> 
> (%i1) y(x):=(x^2-1)^10*(x^2+1)^15;
> 
> (%o1) y(x):=(x^2-1)^10*(x^2+1)^15
> 
>  
> 
> (%i2) diff(y(x),x);
> 
> (%o2) 20*x*(x^2-1)^9*(x^2+1)^15+30*x*(x^2-1)^10*(x^2+1)^14
> 
>  
> 
> manually this simplifies to
> 
> 10*x*(5*x^2-1)*(x^2-1)^9*(x^2+1)^14 
> 
>  
> 
> however factor(%) yields
> 
> (%i3) factor(%);
> 
> (%o3) 10*(x-1)^9*x*(x+1)^9*(x^2+1)^14*(5*x^2-1)
> 
>  
> 
> What am I not seeing or doing incorrectly?
> 

(x^2-1)^9 = (x-1)^9 * (x+1)^9 , all the other terms are identical.

Milan

>  
> 
> Thanks
> 
> Ron
> 
>  
> 

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