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The Maxima on-line user's manual

Algebra Calculator

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Fullratsimp Calculator

Fullratsimp

Function: fullratsimp (<expr>) fullratsimp repeatedly applies ratsimp followed by non-rational simplification to an expression until no further change occurs, and returns the result.

expr: sqrt(4*4+(x-3)*(x-3)) + sqrt(4*4+(x+3)*(x+3));
fullratsimp(expr);
eq1:a*(6-a)=25;
fullratsimp(eq1);
solve(%,a);

When non-rational expressions are involved, one call to ratsimp followed as is usual by non-rational ("general") simplification may not be sufficient to return a simplified result. Sometimes, more than one such call may be necessary. fullratsimp makes this process convenient.

fullratsimp (<expr>, <x_1>, ..., <x_n>) takes one or more arguments similar to ratsimp and rat.

Example:

          (%i1) expr: (x^(a/2) + 1)^2*(x^(a/2) - 1)^2/(x^a - 1);
                                 a/2     2   a/2     2
                               (x    - 1)  (x    + 1)
          (%o1)                -----------------------
                                        a
                                       x  - 1
          (%i2) ratsimp (expr);
                                    2 a      a
                                   x    - 2 x  + 1
          (%o2)                    ---------------
                                        a
                                       x  - 1
          (%i3) fullratsimp (expr);
                                        a
          (%o3)                        x  - 1
          (%i4) rat (expr);
                                 a/2 4       a/2 2
                               (x   )  - 2 (x   )  + 1
          (%o4)/R/             -----------------------
                                        a
                                       x  - 1

(%o1)                                true
(%i2) 

Fullratsimp Example

Related Examples

fullratsimp-ratsimp

ratsimp( (x-2)*(2+x)-...

fullratsimp( (x-2)*(2...

Calculate

fullratsimp-linsolve

eqs:[2 *x1+x2+x3=1, 3...

linsolve(eqs, [x1,x2,...

a[2]:fullratsimp(eqs[...

Calculate

fullratsimp-sqrt-subst

m: 4;

e0: ((m+1)*x+(m-1)*y)...

e1: ((m-1)*x+(m+1)*y)...

Calculate

fullratsimp

fullratsimp(3*(u-8)+4);

Calculate

fullratsimp

z:x^4+4*x^3-17*x^2+20...

y:x^2-5*x+3;

f: y*z;

Calculate

fullratsimp-solve-sqrt

fullratsimp((%pi*((30...

solve(y=(%pi*((30-3*(...

Calculate

fullratsimp-linsolve

eqs:[2 *x1+x2+x3=1, 3...

linsolve(eqs, [x1,x2,...

a[2]:fullratsimp(eqs[...

Calculate

fullratsimp

za:fullratsimp(1 / (1...

zb:fullratsimp(1 / (1...

Calculate

fullratsimp-linsolve

eqs:[2 *x1+x2+x3=1, 3...

linsolve(eqs, [x1,x2,...

a[2]:fullratsimp(eqs[...

Calculate

fullratsimp-sqrt

h1: sqrt(a*c*(1-b*b/(...

h2: sqrt(a*b*(1-c*c/(...

cost1: sqrt((1+(c^2+a...

Calculate