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algebraic-factor-ratsimp-sqrt-true

a:sqrt(m)-sqrt(m-1);

b:sqrt(n)-sqrt(n-1);

S:a*b+a/b+b/a+1/(a*b);

Calculate

algebraic-load-rational-ratsimp-sqrt-true

load(functs);

algebraic:true;

(5+x)/sqrt(5-x);

Calculate

algebraic-ratsimp-sqrt-true

a = 1 / (2 * sqrt(2) ...

algebraic:true;

ratsimp(1 / (2 * sqrt...

Calculate

algebraic-true

algebraic:true;

A:[6.16,-0.77];

B:[-6.16,0.77];

Calculate

algebraic-modulus-true

f(z):= 1+4*z^4+12*z^5...

modulus:5;

algebraic:true;

Calculate

algebraic-ratsimp-solve

eq1:x-x*y/2=a;

eq2:y-x*y/2=b;

solve([eq1,eq2],[x,y]);

Calculate

algebraic-radcan-sqrt-true

algebraic: true;

radcan((11/40+45/67*...

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algebraic-load-ratsimp-sqrt-true

load(functs);

algebraic:true;

ratsimp(1/sqrt(5-x));

Calculate

algebraic-sqrt-true

algebraic:true;

sqrt(1-4*t)/(1-4*t);

Calculate

algebraic-expand-true

algebraic:true;

expand((1+4*z)^6+4*(1...

Calculate

algebraic

Run Example
(%i1)f(z):= 1+4*z^4+12*z^5+8*z^6;
                                       4       5      6
(%o1)                   f(z) := 1 + 4 z  + 12 z  + 8 z
(%i2)  modulus:5;
(%o2)                                  5
(%i3)  algebraic:true;
(%o3)                                true
(%i4)  rat(f((1-z))/(1+4*z));
                               6    4    3    2
                            2 z  + z  + z  + z  - z
(%o4)/R/                    -----------------------
                                     z - 1
(%i5) 
Run Example
algebraic:(algebraic);
(%o1)                                false
(%i2) tellsimp(z^2,1-z);
(%o2)                         [^rule1, simpexpt]
(%i3) 1/(1+z);
                                       1
(%o3)                                -----
                                     z + 1
(%i4) 
Run Example
algebraic:true;
(%o1)                                true
(%i2) v1:rat((15*%i+15+12)/(-%i*5/2+5/2+8+8*%i-18/5));
                                 2250 %i - 13440
(%o2)/R/                       - ---------------
                                      3893
(%i3) e1:30=i1*(5+5*%i)+(-5*%i)*i2;
(%o3)                    30 = (5 %i + 5) i1 - 5 %i i2
(%i4) e2:0=i1*(-5*%i)+i2*(8+8*%i)+i3*(-6);
(%o4)                0 = - 6 i3 + (8 %i + 8) i2 - 5 %i i1
(%i5) e3:-20=i2*(-6)+10*i3;
(%o5)                         - 20 = 10 i3 - 6 i2
(%i6) linsolve([e1,e2,e3],[i1,i2,i3]);
              6924 %i - 12084       4350 %i + 5160       2610 %i - 4690
(%o6) [i1 = - ---------------, i2 = --------------, i3 = --------------]
                   3893                  3893                 3893
(%i7) a1:30=5*i1+5*%i*(i1-i2);
(%o7)                     30 = 5 %i (i1 - i2) + 5 i1
(%i8) a2:0=2*i2+3*%i*i2+5*%i*(i2-i1)+6*(i2-i3);
(%o8)          0 = 6 (i2 - i3) + 5 %i (i2 - i1) + 3 %i i2 + 2 i2
(%i9) a3:-20=4*i3+6*(i3-i2);
(%o9)                      - 20 = 6 (i3 - i2) + 4 i3
(%i10) s2:linsolve([a1,a2,a3],[i1,i2,i3]);
               6924 %i - 12084       4350 %i + 5160       2610 %i - 4690
(%o10) [i1 = - ---------------, i2 = --------------, i3 = --------------]
                    3893                  3893                 3893
(%i11) float(carg(rhs(s2[1]))*180/%pi);
(%o11)                        - 29.81223763810976
(%i12) 

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