This is documentation for Mathematica 3, which was
based on an earlier version of the Wolfram Language.
 Distribute 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. 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]]. Distribute[f[a+b,g[x,y],c], g]. Distribute[ expr , g , f , gp , fp ] gives gp and fp in place of g and f respectively in the result of the distribution. See the Mathematica book: Section 2.2.10. See also: Expand, Thread, Outer, Inner. Further Examples This expresses the classic distributive law of multiplication over addition. In[1]:= Out[1]= Here is an equivalent way to write the input. In[2]:= Out[2]= This is how taking a power distributes over addition. In[3]:= Out[3]= We can generalize this to an arbitrary function. In[4]:= Out[4]= Here we distribute over a product instead of a sum (two variations). In[5]:= Out[5]= In[6]:= Out[6]= This example is similar to ComplexExpand. (In ComplexExpand the exponent has to be a number.) In[7]:= Out[7]= In[8]:= Out[8]=