This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.
 MATHEMATICA GUIDE Functions »| More About »| Tutorials »
Algebraic Transformations
Mathematica includes functions for performing a variety of specific algebraic transformations. Some are algorithmically straightforward; others include highly sophisticated algorithms, many developed and refined at Wolfram Research.
General Operations
Simplify apply transformations to try to simplify an expression
FullSimplify apply a full set of simplification transformations
FunctionExpand attempt to expand in terms of more elementary functions

PowerExpand expand powers, assuming positive real variables, etc.
ComplexExpand expand complex functions into real and imaginary parts, etc.

Expand expand out products and powers
Factor factor sums into products and powers
Collect collect similar terms together
Together put over a common denominator
Apart break apart into partial fractions
TrigToExp, ExpToTrig convert between exponentials and trigonometric functions
RootReduce try to merge all roots to a single root