Built-in Mathematica Symbol

Distribute

Distribute[f[x₁, x₂, ...]]
distributes f over Plus appearing in any of the

.

Distribute[expr, g]
distributes over g.

Distribute[expr, g, f]
performs the distribution only if the head of expr is f.

Distribute explicitly constructs the complete result of a distribution; Expand, on the other hand, builds up results iteratively, simplifying at each stage.

Distribute[expr, g, f, gp, fp] gives gp and fp in place of g and f respectively in the result of the distribution. »

Apply the distributive law:

Distribute f over Plus:

Distribute f over g:

Apply the distributive law:

Distribute f over Plus:

Distribute f over g:

By default, distribute over Plus:

Distribute only a product of sums:

Distributive laws for logical operators:

Apply the distributive law to arbitrary operators:

Distribute f over g to give fp and gp:

Expand symbolic matrix and vector expressions:

Apply the distributive law with any operator:

Find the list of all possible combinations of elements:

Generate a powerset:

Find intermediate terms from a direct application of the distributive law:

For pure products, Distribute gives the same results as Expand:

PowerExpand corresponds to distribution over Times:

Outer forms the same combinations of all elements, but in a nested structure:

Find all possible sums of sublists of a list: