Distributive Multiply

The Distributive Property can be used for distributing a multiplication across a set of grouped terms. This has the effect of removing a grouping and can expose the terms that were inside for further simplification depending on the problem type.

This rule is expressed by the equation a(b + c) = ab + ac

Transformations¶

Given a multiplication of a and (b + c) this rule distributes a across b and c leaving only the simpler form of ab and ac.

Addition¶

a(b + c) = ab + ac

                             +
         *                  / \
        / \                /   \
       /   \              /     \
      a     +     ->     *       *
           / \          / \     / \
          /   \        /   \   /   \
         b     c      a     b a     c

Examples¶