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第一部分第一题安装软件matlab第二题、输入矩阵1A1234432123413241』»A=[1,2,3,4;4,32123,4;3,2,4,1]、输入矩阵2B
1.0000+
4.0000i
2.0000+
3.0000i
3.0000+
2.0000i
4.0000+l.OOOOi»B=[1+4i,2+3i,3+2i,4+1i;4+1i,3+2i,2+3i,1+4i;2+3i,3+2i,4+1i,1+4i;3+2i,2+3i,4+li,l+4i]
4.0000+
1.OOOOi
3.0000+
2.0000i
2.0000+
3.0000i
1.0000+
4.0000i
2.0000+
3.OOOOi
3.0000+
2.0000i
4.0000+
1.0000i
1.0000+
4.0000i
3.0000+
2.0000i
2.0000+
3.OOOOi
4.0000+l.OOOOi
1.0000+
4.0000i、令3A5,6=5»A5,6=5123400432100234100324100000005第三题、提取偶数行1」』»A=[1,2,3,4;4,3,2/23,4;3,2,4];B=A2:2:end,:二B
43213241、2A=magic8»A=magic83*a2*d+c4*b3*a2*e+c4*b3*d2*a-c4*b3*e2*a+c4*d3*a2*b-c4*d3*a2*e-c人4*d八3*b-2*a+c-4*d八3*e-2*a-c4*e八3*a-2*b+c-4*e八3*a-2*d+c4*e3*b…2*a~c-4*屋3*d2*a-d4*a3*b2*c+d4*a3*b2*e+d4*a3*c2*b-d4*a3*c2*e-d4*a3*e2*b+d4*a3*e2*c+d4*b3*a2*c-d4*b^3*a2*e-d4*b3*c2*a+d4*b3*e2*a-d4*c^3*a2*b+d4*c3*a2^e+d4^c3*b2*a-d4*c3*e2*a-d4*e3*a2*c-d4*e3*b2*a+d4*e3*c2*a+e4*a3*b2*c-e4*a3*b2*d-e4*a3*c2^b+e4*a3*c2*d+e4*a3*d2^b-e4*a3*d2*c-e4*b3*a2*c+e4*b3*a2*d+e4*b3*c2*a-e4*b3*d2*a+e4*c3*a2*b-e4*c3*a2*d-e4*c3*b2*a+e4*c3*d2*a-e4*d3*a2*b+e4*d3*a2*c+e4*d3*b-2*a-e-4*d-3*c-2*a combinetrig:d4*b3*c2*e-d4*b3*e2*c+b4*c3*d2*e-b4*c3*e2*d-b4*d3*c2*e+b4*d3*e2*c+b4*e3*c2*d-b4*e3*d2*c-c4*b3*d2*e+c4*b3*e2*d+c4*d3*b2*e-c4*d3*e2*b~c4*e3*b2*d+c4*e3*d2*b-d4*c3^b2*e+d4*c3*e2*b+d4*e3*b2*c-cT4*e-3*c-2*b-e-4*b c3*c八2*d+e-4*b-3*cT2*c+e-4*c-3*b八2*上屋4*c-3*cT2*b-屋4*cT3*b2*c+e4*d3*c2*b+d^4*e3*a2*b+a4*b3*c2*d-a4*b3*c2*e-a4*b3*d2*c+a4*b3*d^2*e+a4*b3*e2*c-a4*b3*e^2*d-a4*c3*b2*d+a4*c3*b2*e+a4*c3*d2*b-a4*c3*d2*e-a4*c3*e2*b+a4*c3*e2*d+a4*d3*b2*c-a4*d3*b2*e-a4*d3*c2*b+a4*d3*c2^e+a4^d3*e2*b-a4*d3*e2*c-a4*e3*b2*c+a4^e3*b2^d+a^4*e*3*c*2*b-a4*e3*c2*d-a4*e3*d2*b+a4*e3*d2*c-b4*a3*c2*d+b4*a3*c2*e+b4*a3*d2*c-b4*a3*d2*e-b4*a^3*e2*c+b4*a3*e2*d+b4*c3*a^2*d-b4*c^3*a「2*e-b-4*c-3*d-2*a+b-4*c八3*屋2*a-b-4*cT3*a「2*c+b-4*cT3*£2*e+b-4*cT3*c八2*a-b^4*d3*e2^a+b4*e3*a2^c-b4*e3*a2^d-b4*e3*c2*a+b4*e3*d2*a+c4*a3*b^2*d-c4*a3*b2*e-c4*a3^d2*b+c4*a3^d2*e+c4*a3*e2*b-c4*a3*e2*d-c4*b3*a2*d+c4*b3*a2*e+c4*b3*d2*a-c4*b^3*e2*a+c4*d3*a2*b-c4*d3*a2*e-c^4*d3*b2*a+c4*d3*e2*a-c^4*e3*a2*b+c4*e3*a2*d+c^4*e3*b2*a-c4*e3*d-2*a-cT4*a-3*b-2*c+T4*相3*b-2*e+cT4*屋3*c-2*b-cT4*屋3*c-2*e-cT4*a-3*e-2*b+cT4*a3*e2*c+d4*b3*a2*c-d4*b3^a2*e-d4*b3^c2*a+d4*b3*e2*a-d4*c3^a2*b+cT4*c八3*a-2*e+cT4*c人3*b-2*a-cT4*c-3*e-2*a-cT4*e人3*a/2*c-cT4*e八3*b-2*a+cT4*e八3*c2*a+e4*a3*b2^c-e4*a3*b2*d-e4*a3*c2*b+e4*a3*c2*d+e4*a3*d2*b-e4*a3*d2*c-e4*b3*a2*c+e4*b3*a2*d+e4*b3*c2*a-e4*b3*d2*a+e4*c3*a2*b-e八4*c八3*a-2*d-e-4*c-3*b-2*a+e-4*c八3*cT2*a-e-4*cT3*丁2*b+e-4*cT3*a-2*c+e-4*cT3*b-2*a-e-4*T3*c-2*a factor:--a+d*一a+c*c-d*b-a*b-d*b-c*-a+e*e-d*e-c*-b+e expand:d4*b3*c2*e~d4*b3*e2*c+b4*c3*d2*e-b4*c3*e2*d-b4*d3*c2*e+b4*d3*e2*c+b4*e3*c2*d-b4*e3*d2*c-c4*b3*d2*e+c4*b3*e2*d+c4*d3*b2*e-c4*d3*e2*b-c4*e3*b2*d+c4*e3*d2*b-d4*c3*b2*e+d4*c3*e2*b+d4*e3*b2*c-d4*e^3*c2*b-e4*b3*c2*d+e4*b3*d2*c+e4*c^3*b2*d-e4*c^3*d2*b-e^4*d3*b2*c+e4*d3*c2*b+d4*e3*a2*b+a4*b3*c2*d-a4*b3*c2*e-a4*b3*d2*c+a4*b3*d2*e+a4*b3^e2*c-a4*b3^e2*d-a4*c3^b2*d+a4*c3*b2*e+a4*c3^d2*b-a4*c3*d2*e-a4*c3*e2*b+a4*c3*e2*d+a4*d3*b2*c-a4*d3*b2*e-a4*d3*c2*b+a4*d3*c2*e+a4*d3*e2*b-a4*d3*e2*c-a4*e3*b2*c+a4*e3*b2*d+a^4*/3*/2*13-2-4*屋3*/2*1-@/4*3*1-2*6+@-4*6-3*不2初4/4*@-3*/2*1+1/4*@-3*/2*e+b4*a3*d2*c-b4*a3*d2*e-b4*a3*e2*c+b4*a3*e2*d+b4*c3^a2*d-b4*c^3*a2*e-b4*c3*d2*a+b4*c3*e2*a-b4*d3*a2*c+b4*d3*a2*e+b4*d3*c2*a-b4*d3*e2*a+b4*e3*a2*c-b4*e3*a2*d-b4*e3*c2*a+b4*e3*d2^a+c4*a3*b^2*d-c4*a3*b2*e-c4*a3*d2*b+c4*a3*d2*e+c4*a3*e2*b-c4*a3*e2*d-c4*b-3*a-2*d+c-4*b3*a-2*e+c-4*b八3*cT2*a-c-4*b-3*e-2*a+c-4*cT3*a-2*b-c-4*cT3*a-2*e-c4*d3*b2^a+c4^d3*e2*a-c4*e3*a2*b+c4*e3*a2*d+c4*e3*b2*a-c4*e3*d2*a-d4*a3*b2*c+d4*a3*b2*e+d4*a3*c2*b-d4*a3^c2^e-d4*a3*e2*b+d4*a3*e2*c+d4*b3*a2*c-d4*b3*a2*e-d4*b3*c2*a+d4*b3*e2*a-d4*c3*a2*b+T4*c八3*a-2*e+cT4*c-3*b-2*a-cT4*c-3*e-2*a-T4*屋3*a-2*c-cT4*屋3*b-2*a+cT4*屋3*c2*a+e^4*a3*b2*c-e^4*a3*b2*d*e^4*a3*c2*d+e^4*a3*d2^-6^4*a3*d2*c-e4*b3*a2*c+e4*b3*a2*d+e4*b3*c2*a-e4*b3*d2*a+e4*c3*a2*b-e4^c3*a2*d-e4*c3*b2*a+e4*c3*d2*a-e4*d3*a2*b+e4*d3*a2*c+e4*d3*b-2*a-e-4*cT3*c八2*a combine:d4*b3*c2*e-d4*b3*e2*c+b4*c3*d2*e-b4*c3*e2*d-b4*d3*c2*e+b4*d3*e2*c+b4*e3*c2*d-b4*e3*d2*c-c4*b3*d2*e+c4*b3*e2*d+c4*d3*b2*e-c4*cT3*e-2*b-c-4*e-3*b-2*d+c-4*屋3*T2*b-d-4*c-3*b-2*e+cT4*c-3*屋2*b+cT4*屋3*b-2*c-cT4*屋3Mz2*b-e M*b八3Mz2*d+e MM3*d-2*c+e M*c3*b-2*d-e M*c-3*d-2*b-e M*cT3*b2*c+e4*d3*c2*b+d4*e3*a2*b+a4*b3*c2^d-a4*b3*c2*e-a4*b3*d2^c+a43*d2*e+a4*b3*e2*c-a4*b3*e2*d-a4*c3*b2*d+a4*c3*b2*e+a4*c3*d2*b-a4*c3*d2*e-a4*c3*e2*b+a4*c3*e2*d+a4*d3*b2*c-a4*d3*b2*e-a4*d3*c2*b+a4*d^3*c^2*e+a4*d^3*e2*b-a4*d^3*e^2*c-a^4*e3*b2*c+a^4*e3*b2*d+a^4*e3*c2*b-a4*e3*c2*d-a4*e3*d2*b+a4*e3*d2*c-b4*a3*c2*d+b4*a3*c2*e+b4*a3*d2*c-b4*a3*d2*e-b4*a3*e2*c+b4*a3*e2*d+b4*c3*a2*d-b4*c^3*a-2*e-b-4*c八3*cT2*a+b-4*c八3*e-2*a-b-4*cT3*a-2*c+b-4*cT3*a-2*e+b-4*cT3*c八2*a~b-4*d八3*e-2*a+b八4*e八3*a-2*c~b八4*e八3*a-2*d-b-4*屋3*c八2*a+b-4*e八3*d-2*a+c-4*a八3*b八2*d-c八4*晨3*b八2*e-c八4*晨3*d-2*b+c八4*晨3*d八2*e+c-4*晨3*e-2*b-c八4*晨3*e-2*d-c-4*b3*a2*d+c4*b3*a2*e+c4*b3*d2*a-c4*b3*e2*a+c4*d3*a2*b-c4*d3*a2*e-c4*d3*b2*a+c4*d3*e2*a-c4*e3*a2*b+c4*e3*a2*d+c4*e3*b2*a-c4*e3*d2*a-d4*a3*b2*c+d4*a3*b2*e+d4*a3*c2*b-d4*a3*c2*e-d4*a3*e2*b+d4*a3*e2*c+d4*b3*a2*c-d4*b3*a2*e-d4*b3*c2*a+d4*b3*e2*a-d4*c3*a2*b+cf4*c-3*a八2*e+d-4*c八3*b-2*a-cT4*c-3*e-2*a-d-4*e-3*a-2*c-d-4*e-3*b-2*a+T4*e-3*c2*a+e4*a3*b2*c-e4*a3*b2*d-e4*a3*c2*b+e4*a3*c2*d+e4*a3*d2*b-e4*a3*d2*c-e4*b3*a2*c+e4*b3*a2*d+e4*b3*c2*a-e4*b3*d2*a+e4*c3*a2*b-e4*c3*a2*d-e4*c3*b2*a+e4*c3*d2*a-e4*d3*a2*b+e4*d3*a2*c+e4*d3*b-2*a-葭4*d-3*c-2*a 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c3*d八2+d…4*c-3*a八2+c-4*b-3*a2+a4*b-3*d八2-c八4*a八3*b八2-a4*c八3*d八2-d八4*1/3*@八2-丁4*E3*£2-1/4*@-3*不2-2-4*不3*鼠2*0+屐4*不3*1/2*-4*不3*2*194-4*213*2*^+14*£3*12初+1/4*3*@-2*1-1/4*3*]-2*a-1/4*不£3*@八2初+『4*13*2*a+c4*a3*b2*d-c4*a3*d2*b-c4*b3*a2*d+c4*b3*d2*a+c4*d3*a2*b-c4*d人3*b-2*a-cT4*a-3*b-2*c+cT4*a人3*c-2*b+cT4*b-3*a-2*c-cT4*b-3*c八2*a-cT4*c人3*a-2*b+d4*c3*b2*a+-b2*c*a*4+b4*c2*d-b4*d2*c+a2*b-d4*c2*b+d4*a*2*b+a4*b-2*d+b-4*T2*a+a-4*cT2*c+c-4*£2*d+c-4*b-2*a-c-4*cT2*a+c-4*cT2*b+cT4*c-2*a-a-4*」2*上4*@八2*卜@八4*不2*13-4*1/2*€1+1/4*£2*+^4*1/2*3-1/4*£2*1-不4*1/2祐43-4*2*@-14*@-2*3*e3mwcos2sin:d4*b3*c2^e-d4*b3*e2^c+b4^c3*d2^e-b4*c3*e2^d-b4*d3*c2*e+b4^d3*e2*c+b4*e3*c2*d-b4*e3*d2*c-c4*b3*d2*e+c4*b3*e2*d+c4*d3*b2*e-c4*d3*e2*b-c4*e3*b2*d+c4*e3*d2*b-d4*c3*b2*e+d4*c3*e2*b+d4*e3*b2*c-d N*e-3*c-2*b-e N*b-3*c-2*d+e3*cT2*c+「4*c-3*kT2*d-e N*c-3*cT2*b24*cT3*b2*c+e4*d3*c2*b+d4*e3*a2*b+a4*b3*c2^d-a4*b3*c2^e-a4*b3*d2^c+a4*b3*d2*e+a4*b3*e2*c-a4*b3*e2*d-a4*c3^b2*d+a4*c3*b2*e+a4*c3*d2*b-a4*c3*d2*e-a4*c3*e2*b+a4*c3*e2*d+a4*d3*b2*c-a4*d3*b2*e-a4*d3*c2*b+a4*d3*c2*e+a^4*d3*e2*b-a4*d3*e^2*c-a^4*e3*b2*c+a4*e3*b2*d+a^4*屋3*/2*13-2-4*「3*/2*十a-4*屋3*12*6+a-4*屋3*€1-2*3-b4*@-3*/2*1+1/4*£3*2*e+b4*a3*d2*c-b4*a3*d2*e-b4*a3^e2*c+b4*a3*e2*d+b4*c3*a2*d-b4*c^3*a^2*e~b-4*c人3*cT2*a+b-4*c八3*e-2*a-b-4*cT3*a-2*c+b-4*T3*a^2*e+b-4*d八3*c-2*a-b4*d3*e2*a+b4*e3*a2*c-b4*e3*a2*d-b4*e3*c2*a+b4*e3*d2*a+c4*a3*b^2*d-c4*a3*b2*e-c4*a3*d2*b+c4*a3*d2*e+c4*a3*e2*b-c4*a3*e2*d-c4*b-3*a^2*d+c-4*b-3*a^2*e+c-4*b-3*cT2*a-c-4*b-3*e-2*a+c-4*cT3*a-2*b-c-4*cT3*a-2*e-c4*d3*b2^a+c4^d3*e2^a-c4^e3*a2^b+c4*e3*a2^d+c4^e3*b2*a-c4^e3*d2*a-d4*a3*b2*c+d4*a3*b2*e+d4*a3*c2*b-d4*a3*c2*e-d4*a3*e2*b+d4*a3*e2*c+d4*b3*a2*c-d4*b3*a2*e-d4*b3*c2*a+d4*b3*e2*a-d^4*c3*a2*b+cf4*c-3*a-2*e+cT4*c八3*b-2*a-cT4*c八3*屋2*a-cT4*屋3*a-2*c-cT4*屋3*b-2*a+T4*屋3*c-2*a+e-4*a八3*b八2*c-e-4*a八3*b-2*d-e-4*a八3*c-2*b+e-4*a-3*c-2*d+e-4*a八3*d-2*b-e4*a3*d2*c-e4*b3*a2*c+e4*b3*a2*d+e4*b3*c2*a-e4*b3*d2*a+e4*c3*a2*b-e4*c3*a2*d-e4*c3*b2*a+e4*c3*d2*a-e4*d3*a2*b+e4*d3*a2*c+e4*d3*b-2*a-e八4*d八3*c八2*aans=--a+d*-a+c*c-d*b-a*b-d*b-c*-a+e*e-d*e-c*-b+e
64236160675795554121351501617474620214342244026273736303133323435292838392541232244451918484915145253111056858595462631、检验提取偶数行指令3»B2=A2:2:end,:B2=95554121351501640262737363031334123224445191848858595462631第四题、数值方法:1»format long;sum
2.A[0:63]ans=
1.844674407370955e+
019、运算方法2»sumsy m
2.A[0:63]ans=第五题、其中1sinl/t,图形为»t=[-l:
0.001:l];y=sinl./t;plott,y、其中-几,兀»2sintant-tansint,』.』.图t=[-pi:
0.05:-l.8,-l.799:
0.001:-l.2,-L2:
0.05:l.2201:
0.001:l.881:
0.05:pi];y=sintant-tansin t;plott,y形为210-1-2J_____L--4-3-2-101第六题»xx=[-2:.l:-
1.2,-l.l:
0.02:-
0.9,-
0.8:
0.1:
0.8,
0.9:
0.02:
1.1,
1.2:
0.1:2];yy=[-l:
0.1:-
0.2,-
0.1:
0.02:
0.1,
0.2:,1:1];[x,y]=meshgridxx,yy;.八.八z=l./sqrtl-x.A2+y.A2+l./sqrtl+x2+y2subplot224,surfx,y,z,shadingflat;subplot221,surfx,y,z,view0,90;subplot222,surfx,y,z,view90,0;subplot223,surfx,y,z,view0,0;三维图第七题、单变量函数极限
1.
05.0■5O»syms x;»f=3Ax+9AxAl/x;»L=limitf,x,inf二L
9、多变量函数极限2»syms xy;f=x*y/sqrtx*y+1-1;»L=limitlimitf,x,O,y,O二L
2、3»syms xy;八八八八八八f=]_cosx2+y2/x2+y2*expx2+y2;»L=limitlimitf,x,O,y,OL=0第八题1dy/dx»syms t;x=logcost;y=cost-t*sint;-simplediffx,t/diffy,t二ans-sint/cost/2*sint+t*cost、二阶导2»f=diffy,t,2/diffx,t,2;subsf,t,sympi/3ans=八3/8・l/24*pi*31/2第九题»syms xy t;仁intexp-t八2,t,0,x*y;x/y*difff,x,2-2*diffdifff,x,y+difff,y,2;simpleans ans二-2*exp-xA2*yA2*-xA2*yA2+1+x八3*y第十题求极限1»syms kn;symsuml/2*kA2-1,k,1,infans=1/
22、»syms kn;limitn*symsuml/n八2+k*pi,k,l,n,n,inf ans=1第十一题求曲线积分1»syms at;syms apositive;x=a*cost+t*sint;y=a*sint-t*cost;f=xA2+yA2;I=intf*sqrtdiffx,tA2+diffy,tA2,t,0,2*piI二2*aA3*piA2+4*aA3*piA
42、»syms xy ab ct;x=c*cost/a;y=c^sint/b;p=y*x八3+expy;Q=x*y八3+x*expy-2*y;ds=[diffx,t;diffy,t];I=int[P Q]*ds,t,0,piI=第十二题editfunction A=vanderl vlengthv;v=v:;A=symones n;for j=n-l-l:l,A,j=v.*A:,j+1;endsyms abcde;C=[abcd e];A=vanderlCA二[a4,a3,1]a2a,[b,b^3,b2b,1][c,」3,」2,c,1][d,cT3,d2d,1][「4,e3,「2,e,1]
1、行列式det Aans二cT4*b八3*c-2*e-cT4*b八3*e-2*c+b-4*c人3*cT2*e-b-4*c八3*e-2*dib-4*cT3*c-2*e+b-4*cT3*62*c+b4*e3*c2*d-b4*e3*d2*c-c4*b3*d2*e+c4*b3*e2*d+c4*d3*b2*e-c4*d3*e2*b-c4*e3*b2*d+c4*e3*d2*b-d4*c3*b2*e+d4*c3*e2*b+d4*e3*b2*c-cT4*e-3*c-2*b-e3*2*d+e MM3*cT2*c+e M*c-3*1/2*d-e N*c-3*cT2*b-e3*b2*c+e4*d3*c2*b+d4*e3*a2*b+a4*b3*c2*d-a4*b3*c2*e-a4*b3*d2*c+a4*b3*d2*e+a4*b3*e2*c-a4*b3*e2*d-a4*c3*b2*d+a4*c3*b2*e+a4*c3*d2*b-a4*c3*d2*e-a4*c3*e2*b+a4*c3*e2*d+a4*d^3*b2*c-a4*d^3*b2*e-a4*d^3*晨2布+/4*不3*2*0+/4*13*「2*13-/4*不3*屋2初-/4*屋3*1/2*+晨4*屋3*1/2*1+@-4*e3*c2*b-a4*e3*c2*d-a4*e3*d^2*b+a4*e3*d2*c-b4*a3*c2*d+b4*a3*c2*e+b4*a3*d2*c-b4*a3*d2*e-b4*a3*e2*c+b4*a3*e2*d+b4*c3*a2*d-b4*c^3*a2*e-b4*c3*d2*a+b4*c3*e2*a-b4*d3*a2*c+b4*d3*a2*e+b4*d3*c2*a-b4*d3*e2*a+b4*e3*a2*c-b4*e3*a2*d-b4*e3*c2*a+b4*e3*d2*a+c4*a3*b^2*d-c-4*a3*b-2*e-c八4*/3*cT2*b+c-4*a^3*d-2*e+c-4*a3*e-2*b-c-4*a3*e-2*d-c-4*b3*a2*d+c4*b3*a2*e+c4*b3*d2*a-c4*b3*e2*a+c4^d3^a2*b-c4*d3*a2*e-c4*cT3*b-2*a+cM*cT3*e-2*a-c4*e-3*a-2*b+c°4*e八3*a-2*d+c4*e-3*b-2*a~c八4*e八3*d2*a-d4*a3*b2*c+d4*a3*b2*e+d4*a3*c2*b-d4*a3*c2*e-d4*a3*e2*b+d4*a3*e2*c+d4*b3*a2*c-d4*b3*a2*e-d4*b3*c2*a+d4*b3*e2*a-d4*c3*a2*b+d-4*c八3*a-2*e+d-4*c八3*b-2*a-d-4*c-3*e-2*a-d-4*e八3*晨2*c-d-4*e八3*b-2*a+d-4*e-3*c2*a+e4*a3*b2*c-e4*a3*b2*d-e4*a3*c2*b+e4*a3*c2*d+e4*a3*d2^b-e4*a3*d2*c-e4*b3*a2*c+e4*b3*a2*d+e4*b3*c2*a-e4*b3*d2*a+e4*c3*a2*b-e-4*c八3*a八2*d-e4*c-3*b八2*a+e-4*c八3*d八2*a-e八4*d…3*a八2*b+e-4*d…3*a-2*c+e-4*d八
32、最简形式simpleans simplify:d4*b3*c2*e-d4*b3*e2*c+b4*c3*d2*e-b4*c3*e2*d-b4*d3*c2*e+b4*d3*e2*c+b4*e3*c2*d-b4*e3*d2*c-c4*b3*d2*e+c4*b3*e2*d+c4*d3*b2*e-c4*d3*e2*b-c4*e3*b2*d+c4*e3*d2*b-d4*c3*b2*e+d4*c3*e2*b+d4*e3*b2*c-d4*e^3*c2*b-e4*b3*c2*d+e4*b3*d2*c+e4*c^3*b2*d-e4*c^3*d2*b-e4*d3*b2*c+e4*d3*c2*b+d4*e3*a2*b+a4*b3*c2*d-a4*b^3*c2*e-a4*b3*d2*c+a4*b3*d2*e+a4*b3*e2*c-a4*b3*e2*d-a4*c3*b2*d+a4*c3*b2*e+a4*c3*d2*b-a4*c3*d2*e-a4*c3*e2*b+a4*c3*e2*d+a4*d3*b2*c-a4*d3*b2*e-a4*d3*c2*b+a4*d3*c2*e+a4*d3*e2*b-a4*d3*e2*c-a4*e3*b2*c+a4*e3*b2*d+a^4*e3*c^2*b-a^4*e3*c^2*d-a^4*e3*d^2*b+a^4*e3*d^2*c-b4*a3*c^2*d+b4*a3*c^2*e+b4*a3*d2*c-b4*a3*d2*e-b4*a3*e2*c+b4*a3*e2*d+b4*c3*a2*d-b4*c^3*a2*e-b4*c3*d2*a+b4*c3*e2*a-b4*d3*a2*c+b4*d3*a2^e+b4^d3*c2*a-b4*d3*e2*a+b4*e3*a2*c-b4*e3*a2*d-b4*e3*c2*a+b4*e3*d2*a+c4*a3*b^2*d-c4*a3*b2*e-c4*a3*d2*b+c4*a3*d2*e+c4*a3*e2*b*c4*a3*e2*d-c4*b^3*a2*d+c4*b3*a2*e+c4*b3*d2*a-c4*b3*e2*a+c4*d3*a2*b-c4*d3*a2*e-c4*d3*b2*a+c4*d3*e2*a-c4*e3*a2*b+c4*e3*a2*d+c4*e3*b2*a-c4*e3*d2*a-d4*a3*b2*c+d4*a3*b2*e+d4*a3*c2*b-d4*a3*c2*e-d4*a3*e2*b+d4*a八3*e八2*c+cT4*b-3*a八2*c-cT4*b-3*a八2*e-cT4*b-3*c八2*a+cT4*b-3*e八2*a-cT4*c-3*a八2*b+d4*c-3*a-2*e+d-4*c-3*b-2*a-d4*c-3*屋2*a-d-4*屋3*a-2*c-d-4*屋3*b-2*a+d-4*屋3*c2*a+e4*a3*b2*c-e4*a3*b2*d-e4*a3*c2*b+e4*a3*c2*d+e4*a3*d2*b-e4*a3*d2*c-e4*b3*a2*c+e4*b3^a2*d+e4*b3*c2*a-e4*b3*d2*a+e4*c3*a2*b-e4*c3*a2*d-e4*c3*b2*a+e4*c3*d2*a-e4*d3*a2*b+e4*d3*a2*c+e4*d3*b-2*a-e-4*d八3*c八2*a radsimp:d4*b3*c2*e-d4*b3*e2*c+b4*c3*d2*e-b4*c3*e2*d-b4*d3*c2*e+b4*d3*e2*c+b4*e3*c2*d-b4*e3*d2*c-c4*b3*d2*e+c4*b3*e2*d+c4*d3*b2*e-c4*cT3*e-2*b-c-4*e-3*b八2*d+c-4*e-3*cT2*b-T4*c八3*b-2*e+T4*c八3*e八2*b+cT4*屋3*b-2*c_14「*3*/2*1_屋4*1/3*2*1+屋4*1/3*12*©+屋4*3*1/2*€1_屋4*3*12*13_屋4*不3*b2*c+e4*d3*c2*b+d4*e3*a2*b+a4*b3*c2*d-a4*b3*c2*e-a4*b3*d2*c+a*4*b3*d2*e+a4*b3*e2*c-a4*b3*e2*d-a4*c3*b2*d+a4*c3*b2*e+a4*c3*d2*b-a^4*c3*d2*e-a^4*c3*e2*b+a4*c3*e2*d+a^4*d^3*b2*c-a^4*d3*b2*e-a^4*d^3*c2*b+a4*d3^c2^e+a4^d3*e2^b-a4*d3^e2*c-a4*e3*b2^c+a4^e3*b2*d+a^4*e3*c2*b-a4*e3*c2*d-a4*e3*d2*b+a4*e3*d2*c-b4*a3*c2*d+b4*a3*c2*e+b4*a3*d2*c-b4*a3*d2*e-b4*a3*e2*c+b4*a3*e2*d+b4*c3*a2*d-b4*c*3*a八2*eib-4*c八3*cC2*a+b-4*c八3*e八2*a~b八4*cT3*a八2*c+b-4*cT3*a-2*e+b-4*cT3*c八2*a~b-4*d-3*e-2*a+b八4*e八3*a-2*c-b4*e八3*a-2*d-b-4*屋3*c八2*a+b-4*e八3*d-2*a+c-4*a八3*b八2*d-c^4*a3*b2*e-c^4*a3*d^2*b+c^4*a^3*d^2*e+c^4*a3*e^2*b-c^4*a3*e^2*d-c^4*b。
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