xreduce SciMax Toolbox xtics

SciMax Toolbox >> xthru

xthru

Maxima Function

Calling Sequence

xthru (expr)

Description

Combines all terms of expr (which should be a sum) over a common denominator without expanding products and exponentiated sums as ratsimp does. xthru cancels common factors in the numerator and denominator of rational expressions but only if the factors are explicit.

Sometimes it is better to use xthru before ratsimping an expression in order to cause explicit factors of the gcd of the numerator and denominator to be canceled thus simplifying the expression to be ratsimped.

(%i1) ((x+2)^20 - 2*y)/(x+y)^20 + (x+y)^(-19) - x/(x+y)^20;
                                20
                 1       (x + 2)   - 2 y       x
(%o1)        --------- + --------------- - ---------
                    19             20             20
             (y + x)        (y + x)        (y + x)
(%i2) xthru (%);
                                 20
                          (x + 2)   - y
(%o2)                     -------------
                                   20
                            (y + x)
xreduce SciMax Toolbox xtics