### Related

algebraic:true;

Calculate

##### algebraic-expand-true

algebraic:true;

expr:(x+1)^2*(y+1)^3;

expand(expr);

Calculate

m : matrix([1,2],[1,2]);

nullspace(m);

Calculate

##### 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-expand-true

algebraic:true;

expr:(x+1)^2*(y+1)^8;

expand(expr);

Calculate

##### algebraic-ratsimp-sqrt-true

a: 1 / (2 * sqrt(2) +...

algebraic:true;

ratsimp(a);

Calculate

##### algebraic-expand-modulus-true

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

modulus:5;

algebraic:true;

Calculate

##### algebraic-carg-ev-expand-float-linsolve-numer-pi-polarform-rat-rhs-simp-sqrt-true

algebraic:true;

simp:true;

v1:rat((15*%i+15-12)/...

Calculate

##### algebraic-linsolve-rat-solve-true

e1:30=5*i1+5*%i*(i1-i2);

e2:0=2*i2+3*%i*i2+5*%...

e3:-20=4*i3+6*(i3-i2);

Calculate

##### algebraic-solve-sqrt

[algebraic:true];

solve(x=sqrt(x+1)+y,x);

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) s:(1-z^-1)/(1+z^-1);
1
1 - -
z
(%o2)                                -----
1
- + 1
z
(%i3) numerator:expand((s^2+w1*w2)^2);
1                           4
(%o3) -------------------------- - -----------------------
4      3      2              3      2         1
z  + 4 z  + 6 z  + 4 z + 1   z  + 4 z  + 6 z + - + 4
z
6               2 w1 w2               4             4 w1 w2
+ --------------------- + ------------ - ------------------- - ---------
2         4   1         2                 6   4    1            1
z  + 4 z + - + -- + 6   z  + 2 z + 1   z + - + -- + -- + 4   z + - + 2
z    2                          z    2    3           z
z                               z    z
1              2 w1 w2       2   2
+ -------------------- + ---------- + w1  w2
4   6    4    1        2   1
- + -- + -- + -- + 1   - + -- + 1
z    2    3    4       z    2
z    z    z            z
(%i4) ratcoef(numerator,z,4);
(%o4)                                  0
(%i5) ratcoef(numerator,s,4);
2   2
(%o5)                        w1  w2  + 2 w1 w2 + 1
(%i6) ```

### Related Help

Help for Algebraic