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Distribute

Usage

Distribute[f[ ,  , ... ]] 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.


Notes

Distribute effectively implements the distributive law for operators f and g.
Distribute explicitly constructs the complete result of a distribution; Expand, on the other hand, builds up results iteratively, simplifying at each stage.
• Example: Distribute[f[a+b,c+d]]LongRightArrow .
Distribute[f[a+b,g[x,y],c], g]LongRightArrow .
Distribute[expr, g, f, gp, fp] gives gp and fp in place of g and f respectively in the result of the distribution.
• See also: Expand, Thread, Outer, Inner, Tuples.
• New in Version 1.


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