expand(expr)

For illustration purposes, first set  and  as prefixes to identify anticommutative variables and functions, and  to identify noncommutative ones (see Setup for details).

Consider now the noncommutative product between anticommutative objects and related sums.

You can get the expanded form of this product using expand or Expand:

Note that in the expanded representation, all * products are distributed. This is a more complicated example, involving anticommutative and noncommutative objects.

Now you can use the usual Maple commands to manipulate this expression. For example, note the existence of common factors entering the commutative products of this expression; you can take advantage of them to simplify it.

To additionally expand also the mathematical functions, use expand instead of Expand; compare for instance these two results:

convert/horner, Physics, Physics conventions, Physics examples, Physics[*], Physics[^], Setup