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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.

f(x):=((x^5+6*x^3-22*x^2-5*x)/(3*x^2+2));
plot2d(f(x), [x, -5,5], [y, -5, 5]);
df(x):=

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-solve

u:2*v/(1+v^2/c^2);

t:m*u/(1-u^2/c^2)^(-1...

fullratsimp(solve(t,M));

Calculate

fullratsimp-linsolve-subst

eq1:1/(s*(s+1)*(s+2));

eq2:subst(i*w, s, eq1);

fullratsimp(eq2);

Calculate

fullratsimp-solve-sqrt

expr: sqrt(4*4+(x-3)*...

fullratsimp(%);

eq1:a*(6-a)=25;

Calculate

fullratsimp

fullratsimp(1/(1+((1/...

Calculate

fullratsimp-sqrt

fullratsimp(30-(3*(90...

Calculate

fullratsimp

fullratsimp((x+a)^3);

Calculate

fullratsimp

S:2*n*(n+a)*(2*n+a-2);

Q:2*(n+a-1)*(n-1)*(2*...

T:fullratsimp(Q/S);

Calculate

fullratsimp-integrate-sqrt

f(x) := (3*x^3-x^2+2*...

F(x) := ''(integrate(...

F(1);

Calculate

fullratsimp-inf-sum

''fullratsimp(sum((1/...

Calculate

fullratsimp

fullratsimp(1/n - 1/(...

Calculate