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Question: how i can simplify....

Question:how i can simplify....

torabi 85 Maple 2017
simplify
February 19 2018
1

hi

please help me for simplify (factor) this equations.

thanks

vel.mw
 

simplify(-(1/226609908940800)*(106722*Br*NT*ln(h)*NB-106722*Br*NT*ln(R0)*NB-106722*Br*NT^2*ln(h)+106722*Br*NT^2*ln(R0)-106722*NB^2*Gr*ln(h)+106722*NB^2*Gr*ln(R0)+106722*Gr*NT*ln(h)*NB-106722*Gr*NT*ln(R0)*NB)*r^12/(L^6*NB*(ln(h)-ln(R0)))-(1/226609908940800)*(-524288*Br*NT*ln(h)*R0*NB-524288*Br*NT*ln(h)*h*NB+524288*Br*NT*ln(R0)*R0*NB+524288*Br*NT*ln(R0)*h*NB+524288*Br*NT^2*ln(h)*R0+524288*Br*NT^2*ln(h)*h-524288*Br*NT^2*ln(R0)*R0-524288*Br*NT^2*ln(R0)*h+524288*NB^2*Gr*ln(h)*R0+524288*NB^2*Gr*ln(h)*h-524288*NB^2*Gr*ln(R0)*R0-524288*NB^2*Gr*ln(R0)*h-524288*Gr*NT*ln(h)*R0*NB-524288*Gr*NT*ln(h)*h*NB+524288*Gr*NT*ln(R0)*R0*NB+524288*Gr*NT*ln(R0)*h*NB)*r^11/(L^6*NB*(ln(h)-ln(R0)))-(1/226609908940800)*(1920996*Br*NT*ln(h)*R0*h*NB-15367968*L^2*Br*NT^2*ln(h)+15367968*L^2*Br*NT^2*ln(R0)-15367968*L^2*Gr*NB^2*ln(h)+15367968*L^2*Gr*NB^2*ln(R0)-960498*NB^2*Gr*ln(h)*R0^2-960498*NB^2*Gr*ln(h)*h^2+960498*NB^2*Gr*ln(R0)*R0^2-1920996*Br*NT*ln(R0)*R0*h*NB+1920996*Gr*NT*ln(h)*R0*h*NB-1920996*Gr*NT*ln(R0)*R0*h*NB+960498*NB^2*Gr*ln(R0)*h^2-960498*Br*NT^2*ln(h)*h^2+960498*Br*NT^2*ln(R0)*R0^2-960498*Br*NT^2*ln(h)*R0^2+960498*Br*NT^2*ln(R0)*h^2+1920996*Br*NT^2*ln(R0)*R0*h-960498*Gr*NT*ln(R0)*h^2*NB+960498*Gr*NT*ln(h)*h^2*NB-960498*Gr*NT*ln(R0)*R0^2*NB+960498*Gr*NT*ln(h)*R0^2*NB-1920996*NB^2*Gr*ln(h)*R0*h+1920996*NB^2*Gr*ln(R0)*R0*h-15367968*L^2*Gr*NB*NT*ln(R0)-960498*Br*NT*ln(R0)*h^2*NB+15367968*L^2*Gr*NB*NT*ln(h)+960498*Br*NT*ln(h)*h^2*NB-960498*Br*NT*ln(R0)*R0^2*NB-15367968*L^2*Br*NB*NT*ln(R0)+960498*Br*NT*ln(h)*R0^2*NB-1920996*Br*NT^2*ln(h)*R0*h+15367968*L^2*Br*NB*NT*ln(h))*r^10/(L^6*NB*(ln(h)-ln(R0)))-(1/226609908940800)*(-63438848*L^2*Br*NB*NT*ln(h)*R0-63438848*L^2*Br*NB*NT*ln(h)*h+63438848*L^2*Br*NB*NT*ln(R0)*R0+63438848*L^2*Br*NB*NT*ln(R0)*h+63438848*L^2*Br*NT^2*ln(h)*R0+63438848*L^2*Br*NT^2*ln(h)*h-63438848*L^2*Br*NT^2*ln(R0)*R0-63438848*L^2*Br*NT^2*ln(R0)*h+63438848*L^2*Gr*NB^2*ln(h)*R0+63438848*L^2*Gr*NB^2*ln(h)*h-63438848*L^2*Gr*NB^2*ln(R0)*R0-63438848*L^2*Gr*NB^2*ln(R0)*h-63438848*L^2*Gr*NB*NT*ln(h)*R0-63438848*L^2*Gr*NB*NT*ln(h)*h+63438848*L^2*Gr*NB*NT*ln(R0)*R0+63438848*L^2*Gr*NB*NT*ln(R0)*h)*r^9/(L^6*NB*(ln(h)-ln(R0)))-(1/226609908940800)*(11116875*Br*NT^2*R0^4-11116875*Br*NT^2*h^4-11116875*NB^2*Gr*h^4+1536796800*p*ln(h)*NB+11116875*NB^2*Gr*R0^4-1536796800*p*ln(R0)*NB+11116875*Gr*NT*h^4*NB-11116875*Br*NT*R0^4*NB-11116875*Gr*NT*R0^4*NB-192099600*L^2*Gr*NB*NT*ln(R0)*R0*h+192099600*L^2*Gr*NB*NT*ln(h)*R0*h-192099600*L^2*Br*NB*NT*ln(R0)*R0*h+192099600*L^2*Br*NB*NT*ln(h)*R0*h-5336100*Br*NT^2*ln(R0)*R0*h^3-11116875*Gr*NT*R0^3*h*NB-11116875*Br*NT*R0^3*h*NB+11116875*Br*NT*R0*h^3*NB+11116875*Gr*NT*R0*h^3*NB+5336100*Gr*NT*ln(R0)*R0*h^3*NB+24012450*Gr*NT*ln(R0)*R0^2*h^2*NB-24012450*Gr*NT*ln(h)*R0^2*h^2*NB-5336100*Gr*NT*ln(h)*R0^3*h*NB-5336100*Gr*NT*R0*h^3*ln(r)*NB+5336100*Gr*NT*R0^3*h*ln(r)*NB-96049800*L^2*Gr*NB*NT*ln(R0)*h^2-96049800*L^2*Gr*NB*NT*ln(R0)*R0^2+96049800*L^2*Gr*NB*NT*ln(h)*h^2+96049800*L^2*Gr*NB*NT*ln(h)*R0^2+192099600*L^2*Gr*NB^2*ln(R0)*R0*h-192099600*L^2*Gr*NB^2*ln(h)*R0*h+5336100*Br*NT*ln(R0)*R0*h^3*NB+24012450*Br*NT*ln(R0)*R0^2*h^2*NB-24012450*Br*NT*ln(h)*R0^2*h^2*NB-5336100*Br*NT*ln(h)*R0^3*h*NB-5336100*Br*NT*R0*h^3*ln(r)*NB+5336100*Gr*NT*ln(R0)*h^4*NB-5336100*Gr*NT*ln(h)*R0^4*NB-5336100*Gr*NT*h^4*ln(r)*NB+5336100*Br*NT*R0^3*h*ln(r)*NB+192099600*L^2*Br*NT^2*ln(R0)*R0*h-192099600*L^2*Br*NT^2*ln(h)*R0*h-96049800*L^2*Br*NB*NT*ln(R0)*h^2-96049800*L^2*Br*NB*NT*ln(R0)*R0^2+96049800*L^2*Br*NB*NT*ln(h)*h^2+96049800*L^2*Br*NB*NT*ln(h)*R0^2+5336100*Gr*NT*R0^4*ln(r)*NB-5336100*NB^2*Gr*ln(R0)*R0*h^3-24012450*NB^2*Gr*ln(R0)*R0^2*h^2+24012450*NB^2*Gr*ln(h)*R0^2*h^2+5336100*NB^2*Gr*ln(h)*R0^3*h+5336100*NB^2*Gr*R0*h^3*ln(r)-5336100*NB^2*Gr*R0^3*h*ln(r)+96049800*L^2*Gr*NB^2*ln(R0)*h^2+96049800*L^2*Gr*NB^2*ln(R0)*R0^2-96049800*L^2*Gr*NB^2*ln(h)*h^2-96049800*L^2*Gr*NB^2*ln(h)*R0^2-1536796800*L^4*Gr*NB*NT*ln(R0)+5336100*Br*NT^2*R0*h^3*ln(r)+1536796800*L^4*Gr*NB*NT*ln(h)-5336100*Br*NT^2*R0^3*h*ln(r)-5336100*Br*NT*ln(h)*R0^4*NB+5336100*Br*NT*ln(R0)*h^4*NB-5336100*Br*NT*h^4*ln(r)*NB+5336100*NB^2*Gr*ln(h)*R0^4-5336100*NB^2*Gr*ln(R0)*h^4-5336100*NB^2*Gr*R0^4*ln(r)+5336100*NB^2*Gr*h^4*ln(r)-1536796800*L^4*Gr*NB^2*ln(h)+1536796800*L^4*Gr*NB^2*ln(R0)+1536796800*L^4*Br*NT^2*ln(R0)-5336100*Br*NT^2*R0^4*ln(r)+5336100*Br*NT^2*h^4*ln(r)-1536796800*L^4*Br*NT^2*ln(h)+11116875*Br*NB*NT*h^4+11116875*NB^2*Gr*R0^3*h-11116875*NB^2*Gr*R0*h^3+11116875*Br*NT^2*R0^3*h-11116875*Br*NT^2*R0*h^3+5336100*Br*NT^2*ln(h)*R0^4-5336100*Br*NT^2*ln(R0)*h^4+96049800*L^2*Br*NT^2*ln(R0)*h^2+5336100*Br*NT*R0^4*ln(r)*NB-96049800*L^2*Br*NT^2*ln(h)*h^2+96049800*L^2*Br*NT^2*ln(R0)*R0^2-1536796800*L^4*Br*NB*NT*ln(R0)-96049800*L^2*Br*NT^2*ln(h)*R0^2+24012450*Br*NT^2*ln(h)*R0^2*h^2+1536796800*L^4*Br*NB*NT*ln(h)+5336100*Br*NT^2*ln(h)*R0^3*h-24012450*Br*NT^2*ln(R0)*R0^2*h^2)*r^8/(L^6*NB*(ln(h)-ln(R0)))-(1/226609908940800)*(-5138546688*L^4*Br*NB*NT*ln(h)*R0-5138546688*L^4*Br*NB*NT*ln(h)*h+5138546688*L^4*Br*NB*NT*ln(R0)*R0+5138546688*L^4*Br*NB*NT*ln(R0)*h+5138546688*L^4*Br*NT^2*ln(h)*R0+5138546688*L^4*Br*NT^2*ln(h)*h-5138546688*L^4*Br*NT^2*ln(R0)*R0-5138546688*L^4*Br*NT^2*ln(R0)*h+5138546688*L^4*Gr*NB^2*ln(h)*R0+5138546688*L^4*Gr*NB^2*ln(h)*h-5138546688*L^4*Gr*NB^2*ln(R0)*R0-5138546688*L^4*Gr*NB^2*ln(R0)*h-5138546688*L^4*Gr*NB*NT*ln(h)*R0-5138546688*L^4*Gr*NB*NT*ln(h)*h+5138546688*L^4*Gr*NB*NT*ln(R0)*R0+5138546688*L^4*Gr*NB*NT*ln(R0)*h)*r^7/(L^6*NB*(ln(h)-ln(R0)))-(1/226609908940800)*(341510400*L^2*Gr*NB*NT*ln(R0)*R0*h^3+1536796800*L^2*Gr*NB*NT*ln(R0)*R0^2*h^2-1536796800*L^2*Gr*NB*NT*ln(h)*R0^2*h^2-341510400*L^2*Gr*NB*NT*ln(h)*R0^3*h-341510400*L^2*Gr*NB*NT*ln(r)*R0*h^3+341510400*L^2*Gr*NB*NT*ln(r)*R0^3*h-12294374400*L^4*Gr*NB*NT*ln(R0)*R0*h+12294374400*L^4*Gr*NB*NT*ln(h)*R0*h+341510400*L^2*Br*NB*NT*ln(R0)*R0*h^3+1536796800*L^2*Br*NB*NT*ln(R0)*R0^2*h^2-1536796800*L^2*Br*NB*NT*ln(h)*R0^2*h^2-341510400*L^2*Br*NB*NT*ln(h)*R0^3*h-341510400*L^2*Br*NB*NT*ln(r)*R0*h^3+341510400*L^2*Br*NB*NT*ln(r)*R0^3*h+341510400*L^2*Gr*NB*NT*ln(R0)*h^4-341510400*L^2*Gr*NB*NT*ln(h)*R0^4-341510400*L^2*Gr*NB*NT*ln(r)*h^4+341510400*L^2*Gr*NB*NT*ln(r)*R0^4-341510400*L^2*Gr*NB^2*ln(R0)*R0*h^3-12294374400*L^4*Br*NB*NT*ln(R0)*R0*h+12294374400*L^4*Br*NB*NT*ln(h)*R0*h-1536796800*L^2*Gr*NB^2*ln(R0)*R0^2*h^2+1536796800*L^2*Gr*NB^2*ln(h)*R0^2*h^2+341510400*L^2*Gr*NB^2*ln(h)*R0^3*h+341510400*L^2*Gr*NB^2*ln(r)*R0*h^3-341510400*L^2*Gr*NB^2*ln(r)*R0^3*h-6147187200*L^4*Gr*NB*NT*ln(R0)*h^2-6147187200*L^4*Gr*NB*NT*ln(R0)*R0^2+6147187200*L^4*Gr*NB*NT*ln(h)*h^2+6147187200*L^4*Gr*NB*NT*ln(h)*R0^2+12294374400*L^4*Gr*NB^2*ln(R0)*R0*h-12294374400*L^4*Gr*NB^2*ln(h)*R0*h-341510400*L^2*Br*NT^2*ln(R0)*R0*h^3-1536796800*L^2*Br*NT^2*ln(R0)*R0^2*h^2+1536796800*L^2*Br*NT^2*ln(h)*R0^2*h^2+341510400*L^2*Br*NT^2*ln(h)*R0^3*h+341510400*L^2*Br*NT^2*ln(r)*R0*h^3-341510400*L^2*Br*NT^2*ln(r)*R0^3*h+341510400*L^2*Br*NB*NT*ln(R0)*h^4-341510400*L^2*Br*NB*NT*ln(h)*R0^4-341510400*L^2*Br*NB*NT*ln(r)*h^4+341510400*L^2*Br*NB*NT*ln(r)*R0^4+12294374400*L^4*Br*NT^2*ln(R0)*R0*h-12294374400*L^4*Br*NT^2*ln(h)*R0*h-6147187200*L^4*Br*NB*NT*ln(R0)*h^2-6147187200*L^4*Br*NB*NT*ln(R0)*R0^2+6147187200*L^4*Br*NB*NT*ln(h)*h^2+6147187200*L^4*Br*NB*NT*ln(h)*R0^2+626102400*L^2*Br*NT^2*R0^3*h-626102400*L^2*Br*NT^2*R0*h^3-626102400*L^2*Br*NB*NT*R0^4+626102400*L^2*Br*NB*NT*h^4+626102400*L^2*Gr*NB*NT*h^4-626102400*L^2*Gr*NB^2*R0*h^3+626102400*L^2*Gr*NB^2*R0^3*h-626102400*L^2*Gr*NB*NT*R0^4-6147187200*L^4*Gr*NB^2*ln(h)*h^2+6147187200*L^4*Gr*NB^2*ln(R0)*R0^2-6147187200*L^4*Gr*NB^2*ln(h)*R0^2-341510400*L^2*Br*NT^2*ln(R0)*h^4+341510400*L^2*Br*NT^2*ln(r)*h^4+341510400*L^2*Br*NT^2*ln(h)*R0^4-626102400*L^2*Gr*NB*NT*R0^3*h+626102400*L^2*Gr*NB*NT*R0*h^3-626102400*L^2*Br*NB*NT*R0^3*h+626102400*L^2*Br*NB*NT*R0*h^3+6147187200*L^4*Br*NT^2*ln(R0)*h^2-341510400*L^2*Br*NT^2*ln(r)*R0^4+6147187200*L^4*Br*NT^2*ln(R0)*R0^2-6147187200*L^4*Br*NT^2*ln(h)*R0^2-6147187200*L^4*Br*NT^2*ln(h)*h^2-341510400*L^2*Gr*NB^2*ln(R0)*h^4-393419980800*c2*ln(h)*ln(r)*L^2*NB+393419980800*c2*ln(R0)*ln(r)*L^2*NB-341510400*L^2*Gr*NB^2*ln(r)*R0^4+341510400*L^2*Gr*NB^2*ln(r)*h^4+341510400*L^2*Gr*NB^2*ln(h)*R0^4+6147187200*L^4*Gr*NB^2*ln(R0)*h^2-626102400*L^2*Gr*NB^2*h^4+626102400*L^2*Br*NT^2*R0^4-626102400*L^2*Br*NT^2*h^4-393419980800*c1*ln(h)*L^2*NB+327849984000*c2*ln(h)*L^2*NB+98354995200*L^2*p*NB*ln(h)+393419980800*c1*ln(R0)*L^2*NB-327849984000*c2*ln(R0)*L^2*NB-98354995200*L^2*p*NB*ln(R0)+626102400*L^2*Gr*NB^2*R0^4)*r^6/(L^6*NB*(ln(h)-ln(R0)))-(1/226609908940800)*(-3540779827200*c3*L^2*NB*ln(h)+3540779827200*c3*L^2*NB*ln(R0)+12294374400*L^4*Br*NT^2*ln(h)*R0^3*h+55324684800*L^4*Br*NT^2*ln(h)*R0^2*h^2-55324684800*L^4*Br*NT^2*ln(R0)*R0^2*h^2-12294374400*L^4*Br*NT^2*ln(R0)*R0*h^3-12294374400*L^4*Gr*NB^2*ln(r)*R0^3*h+12294374400*L^4*Gr*NB^2*ln(r)*R0*h^3+12294374400*L^4*Gr*NB^2*ln(h)*R0^3*h+55324684800*L^4*Gr*NB^2*ln(h)*R0^2*h^2-55324684800*L^4*Gr*NB^2*ln(R0)*R0^2*h^2-12294374400*L^4*Gr*NB^2*ln(R0)*R0*h^3+12294374400*L^4*Gr*NB*NT*ln(r)*R0^4-12294374400*L^4*Gr*NB*NT*ln(r)*h^4-12294374400*L^4*Gr*NB*NT*ln(h)*R0^4+12294374400*L^4*Gr*NB*NT*ln(R0)*h^4+12294374400*L^4*Br*NB*NT*ln(r)*R0^4-12294374400*L^4*Br*NB*NT*ln(r)*h^4-12294374400*L^4*Br*NB*NT*ln(h)*R0^4+12294374400*L^4*Br*NB*NT*ln(R0)*h^4-12294374400*L^4*Br*NT^2*ln(r)*R0^3*h+12294374400*L^4*Br*NT^2*ln(r)*R0*h^3-18441561600*L^4*Gr*NB*NT*R0^3*h+18441561600*L^4*Gr*NB*NT*R0*h^3-18441561600*L^4*Br*NB*NT*R0^3*h+18441561600*L^4*Br*NB*NT*R0*h^3+12294374400*L^4*Br*NB*NT*ln(R0)*R0*h^3+12294374400*L^4*Gr*NB*NT*ln(r)*R0^3*h-12294374400*L^4*Gr*NB*NT*ln(r)*R0*h^3-12294374400*L^4*Gr*NB*NT*ln(h)*R0^3*h-55324684800*L^4*Gr*NB*NT*ln(h)*R0^2*h^2+55324684800*L^4*Gr*NB*NT*ln(R0)*R0^2*h^2+12294374400*L^4*Gr*NB*NT*ln(R0)*R0*h^3-18441561600*L^4*Gr*NB^2*R0*h^3+18441561600*L^4*Gr*NB*NT*h^4+18441561600*L^4*Br*NB*NT*h^4-18441561600*L^4*Br*NB*NT*R0^4-18441561600*L^4*Br*NT^2*R0*h^3+18441561600*L^4*Br*NT^2*R0^3*h-12294374400*L^4*Gr*NB^2*ln(R0)*h^4-14163119308800*L^4*c2*ln(r)*NB*ln(h)+14163119308800*L^4*c2*ln(r)*NB*ln(R0)-3540779827200*c4*ln(r)*L^2*NB*ln(h)+3540779827200*c4*ln(r)*L^2*NB*ln(R0)-18441561600*L^4*Gr*NB*NT*R0^4+18441561600*L^4*Gr*NB^2*R0^3*h-12294374400*L^4*Br*NT^2*ln(r)*R0^4+12294374400*L^4*Br*NT^2*ln(r)*h^4+12294374400*L^4*Br*NT^2*ln(h)*R0^4-12294374400*L^4*Br*NT^2*ln(R0)*h^4-12294374400*L^4*Gr*NB^2*ln(r)*R0^4+12294374400*L^4*Gr*NB^2*ln(r)*h^4+12294374400*L^4*Gr*NB^2*ln(h)*R0^4+55324684800*L^4*Br*NB*NT*ln(R0)*R0^2*h^2-55324684800*L^4*Br*NB*NT*ln(h)*R0^2*h^2-12294374400*L^4*Br*NB*NT*ln(h)*R0^3*h-12294374400*L^4*Br*NB*NT*ln(r)*R0*h^3+12294374400*L^4*Br*NB*NT*ln(r)*R0^3*h+18441561600*L^4*Gr*NB^2*R0^4-18441561600*L^4*Gr*NB^2*h^4+18441561600*L^4*Br*NT^2*R0^4-3540779827200*L^4*p*NB*ln(R0)+5311169740800*c4*ln(h)*L^2*NB-5311169740800*c4*ln(R0)*L^2*NB-18441561600*L^4*Br*NT^2*h^4-14163119308800*L^4*c1*NB*ln(h)+7081559654400*L^4*c2*ln(h)*NB+3540779827200*L^4*p*NB*ln(h)+14163119308800*L^4*c1*NB*ln(R0)-7081559654400*L^4*c2*ln(R0)*NB)*r^4/(L^6*NB*(ln(h)-ln(R0)))-(1/226609908940800)*(-226609908940800*L^6*c2*ln(r)*NB*ln(h)+226609908940800*L^6*c2*ln(r)*NB*ln(R0)-226609908940800*L^6*c1*NB*ln(h)+226609908940800*L^6*c1*NB*ln(R0)-56652477235200*L^4*c4*ln(r)*NB*ln(h)+56652477235200*L^4*c4*ln(r)*NB*ln(R0)-56652477235200*L^4*c3*NB*ln(h)+56652477235200*L^4*c4*ln(h)*NB+56652477235200*L^4*c3*NB*ln(R0)-56652477235200*L^4*c4*ln(R0)*NB)*r^2/(L^6*NB*(ln(h)-ln(R0)))-(1/226609908940800)*(-226609908940800*L^6*c4*ln(r)*NB*ln(h)+226609908940800*L^6*c4*ln(r)*NB*ln(R0)-226609908940800*L^6*c3*NB*ln(h)+226609908940800*L^6*c3*NB*ln(R0))/(L^6*NB*(ln(h)-ln(R0)))):

NULL


 

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