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ratsubst-solve

f1: N = A / l_p^2;

f2: E = (1/2) * N * k...

f3: E = M * c^2;

Calculate

ratsubst-solve-sqrt

Z0: (p1 - p2)/SE;

Z1 : ratsubst(sqrt(p*...

Z2 : ratsubst((p1*n1+...

Calculate

ratsubst

ratsubst(0,x^6,x^6+x^3);

Calculate

ratsubst-solve

?ratsubst;

G0: Uaus = Adc12/1638...

G1: Uteil = U48 * R2/...

Calculate

ratsubst-solve

f1: N = A / l_p^2;

f2: E = (1/2) * N * k...

f3: E = M * c^2;

Calculate

ratsubst-solve-sqrt

Z0: (p1 - p2)/SE;

Z1 : ratsubst(sqrt(p*...

Z2 : ratsubst((p1*n1+...

Calculate

ratsubst-solve

f1: N = A / l_p^2;

f2: E = (1/2) * N * k...

f3: E = M * c^2;

Calculate

ratsubst-solve-sqrt

Z0: (p1 - p2)/SE;

Z1 : ratsubst(sqrt(p*...

Z2 : ratsubst((p1*n1+...

Calculate

ratsubst-solve

f1: N = A / l_p^2;

f2: E = (1/2) * N * k...

f3: E = M * c^2;

Calculate

ratsubst

c*2;

p:x+y+1/(x+y);

ratsubst(z,y+x,p);

Calculate

ratsubst

Run Example
(%i1)Z0: (p1 - p2)/SE;
                                    p1 - p2
(%o1)                               -------
                                      SE
(%i2) Z1 : ratsubst(sqrt(p*(1-p)*((1/n1)+(1/n2))),SE,Z0);
                                     p2 - p1
(%o2)                     - -------------------------
                                  1    1
                            sqrt((-- + --) (1 - p) p)
                                  n2   n1
(%i3) Z2 : ratsubst((p1*n1+p2*n2)/(n1+n2),p,Z1);
                                      p2 - p1
(%o3) - --------------------------------------------------------------------
                 2    2                                        2    2
               n2  (p2  - p2) + n1 n2 ((2 p1 - 1) p2 - p1) + n1  (p1  - p1)
        sqrt(- ------------------------------------------------------------)
                                          2     2
                                     n1 n2  + n1  n2
(%i4) Z3 : ratsubst(x*p2,p1,Z2);
(%o4) 
                                    p2 x - p2
  -----------------------------------------------------------------------------
           2    2  2                 2            2                         2
         p2  (n1  x  + 2 n1 n2 x + n2 ) + p2 (- n1  x + n1 n2 (- x - 1) - n2 )
  sqrt(- ---------------------------------------------------------------------)
                                         2     2
                                    n1 n2  + n1  n2
(%i5) solve(Z3,x);
(%o5)                               [x = 1]
(%i6) 
Run Example
eq: ratsubst(sin(a)^2,1-cos(a)^2,trigexpand(cos(9*a)));
                    8                    6                    4
(%o1) 256 cos(a) sin (a) - 448 cos(a) sin (a) + 240 cos(a) sin (a)
                                                                  2
                                                   - 40 cos(a) sin (a) + cos(a)
(%i2) 
Run Example
ff=x^3+x^6+2;
                                     6    3
(%o1)                          ff = x  + x  + 2
(%i2) ratsubst( 5, x^2, ff);
(%o2)                                 ff
(%i3) 
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