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Question: one simplification problem

Question:one simplification problem

key01023 20 Maple
simplify
August 16 2012
0 
conisder
 
>eq1:=n=(k[f1]^3+k[f2]^3)/6/Pi^2;


> eq2:=el*V=h_bar^2/2/m*(k[f2]^2-k[f1]^2);


> eq3:=solve({eq1,eq2},{k[f1],k[f2]});
 
> eq4:=allvalues(eq3):
Solving this i get a very very massive result. Let me take a branch:
 
eq5:=subs(eq4[2],k[f1]);
 
I get
 
1/h_bar*(-(1/2*n*Pi^2*h_bar^3/el/V/m+1/2*(n^2*Pi^4*h_bar^6/el^2/V^2/m^2+4/3*el*V*m+1/3/el/V/m*(504*el^3*V^3*m^3*h_bar^6*n^2*Pi^4+88*el^6*V^6*m^6+324*h_bar^12*n^4*Pi^8+4*(-2916*el^3*V^3*m^3*h_bar^18*n^6*Pi^12+144*el^9*V^9*m^9*h_bar^6*n^2*Pi^4-16*el^12*V^12*m^12+6561*h_bar^24*n^8*Pi^16)^(1/2))^(1/3)+4/3*(18*h_bar^6*n^2*Pi^4+5*el^3*V^3*m^3)/(504*el^3*V^3*m^3*h_bar^6*n^2*Pi^4+88*el^6*V^6*m^6+324*h_bar^12*n^4*Pi^8+4*(-2916*el^3*V^3*m^3*h_bar^18*n^6*Pi^12+144*el^9*V^9*m^9*h_bar^6*n^2*Pi^4-16*el^12*V^12*m^12+6561*h_bar^24*n^8*Pi^16)^(1/2))^(1/3))^(1/2)-1/2*(2*n^2*Pi^4*h_bar^6/el^2/V^2/m^2+8/3*el*V*m-1/3/el/V/m*(504*el^3*V^3*m^3*h_bar^6*n^2*Pi^4+88*el^6*V^6*m^6+324*h_bar^12*n^4*Pi^8+4*(-2916*el^3*V^3*m^3*h_bar^18*n^6*Pi^12+144*el^9*V^9*m^9*h_bar^6*n^2*Pi^4-16*el^12*V^12*m^12+6561*h_bar^24*n^8*Pi^16)^(1/2))^(1/3)-4/3*(18*h_bar^6*n^2*Pi^4+5*el^3*V^3*m^3)/(504*el^3*V^3*m^3*h_bar^6*n^2*Pi^4+88*el^6*V^6*m^6+324*h_bar^12*n^4*Pi^8+4*(-2916*el^3*V^3*m^3*h_bar^18*n^6*Pi^12+144*el^9*V^9*m^9*h_bar^6*n^2*Pi^4-16*el^12*V^12*m^12+6561*h_bar^24*n^8*Pi^16)^(1/2))^(1/3)+(4*n*Pi^2*h_bar^3+2*n^3*Pi^6*h_bar^9/el^3/V^3/m^3)/(n^2*Pi^4*h_bar^6/el^2/V^2/m^2+4/3*el*V*m+1/3/el/V/m*(504*el^3*V^3*m^3*h_bar^6*n^2*Pi^4+88*el^6*V^6*m^6+324*h_bar^12*n^4*Pi^8+4*(-2916*el^3*V^3*m^3*h_bar^18*n^6*Pi^12+144*el^9*V^9*m^9*h_bar^6*n^2*Pi^4-16*el^12*V^12*m^12+6561*h_bar^24*n^8*Pi^16)^(1/2))^(1/3)+4/3*(18*h_bar^6*n^2*Pi^4+5*el^3*V^3*m^3)/(504*el^3*V^3*m^3*h_bar^6*n^2*Pi^4+88*el^6*V^6*m^6+324*h_bar^12*n^4*Pi^8+4*(-2916*el^3*V^3*m^3*h_bar^18*n^6*Pi^12+144*el^9*V^9*m^9*h_bar^6*n^2*Pi^4-16*el^12*V^12*m^12+6561*h_bar^24*n^8*Pi^16)^(1/2))^(1/3))^(1/2))^(1/2))^3+6*n*Pi^2*h_bar^3)/((1/2*n*Pi^2*h_bar^3/el/V/m+1/2*(n^2*Pi^4*h_bar^6/el^2/V^2/m^2+4/3*el*V*m+1/3/el/V/m*(504*el^3*V^3*m^3*h_bar^6*n^2*Pi^4+88*el^6*V^6*m^6+324*h_bar^12*n^4*Pi^8+4*(-2916*el^3*V^3*m^3*h_bar^18*n^6*Pi^12+144*el^9*V^9*m^9*h_bar^6*n^2*Pi^4-16*el^12*V^12*m^12+6561*h_bar^24*n^8*Pi^16)^(1/2))^(1/3)+4/3*(18*h_bar^6*n^2*Pi^4+5*el^3*V^3*m^3)/(504*el^3*V^3*m^3*h_bar^6*n^2*Pi^4+88*el^6*V^6*m^6+324*h_bar^12*n^4*Pi^8+4*(-2916*el^3*V^3*m^3*h_bar^18*n^6*Pi^12+144*el^9*V^9*m^9*h_bar^6*n^2*Pi^4-16*el^12*V^12*m^12+6561*h_bar^24*n^8*Pi^16)^(1/2))^(1/3))^(1/2)-1/2*(2*n^2*Pi^4*h_bar^6/el^2/V^2/m^2+8/3*el*V*m-1/3/el/V/m*(504*el^3*V^3*m^3*h_bar^6*n^2*Pi^4+88*el^6*V^6*m^6+324*h_bar^12*n^4*Pi^8+4*(-2916*el^3*V^3*m^3*h_bar^18*n^6*Pi^12+144*el^9*V^9*m^9*h_bar^6*n^2*Pi^4-16*el^12*V^12*m^12+6561*h_bar^24*n^8*Pi^16)^(1/2))^(1/3)-4/3*(18*h_bar^6*n^2*Pi^4+5*el^3*V^3*m^3)/(504*el^3*V^3*m^3*h_bar^6*n^2*Pi^4+88*el^6*V^6*m^6+324*h_bar^12*n^4*Pi^8+4*(-2916*el^3*V^3*m^3*h_bar^18*n^6*Pi^12+144*el^9*V^9*m^9*h_bar^6*n^2*Pi^4-16*el^12*V^12*m^12+6561*h_bar^24*n^8*Pi^16)^(1/2))^(1/3)+(4*n*Pi^2*h_bar^3+2*n^3*Pi^6*h_bar^9/el^3/V^3/m^3)/(n^2*Pi^4*h_bar^6/el^2/V^2/m^2+4/3*el*V*m+1/3/el/V/m*(504*el^3*V^3*m^3*h_bar^6*n^2*Pi^4+88*el^6*V^6*m^6+324*h_bar^12*n^4*Pi^8+4*(-2916*el^3*V^3*m^3*h_bar^18*n^6*Pi^12+144*el^9*V^9*m^9*h_bar^6*n^2*Pi^4-16*el^12*V^12*m^12+6561*h_bar^24*n^8*Pi^16)^(1/2))^(1/3)+4/3*(18*h_bar^6*n^2*Pi^4+5*el^3*V^3*m^3)/(504*el^3*V^3*m^3*h_bar^6*n^2*Pi^4+88*el^6*V^6*m^6+324*h_bar^12*n^4*Pi^8+4*(-2916*el^3*V^3*m^3*h_bar^18*n^6*Pi^12+144*el^9*V^9*m^9*h_bar^6*n^2*Pi^4-16*el^12*V^12*m^12+6561*h_bar^24*n^8*Pi^16)^(1/2))^(1/3))^(1/2))^(1/2))^2-2*el*V*m)
 
How should I simplify this result. I want an expression of shortest length...
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