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Mathematica® Teacher's Edition (2002)

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FullSimplify

FilledSmallSquare FullSimplify[expr] tries a wide range of transformations on expr involving elementary and special functions, and returns the simplest form it finds.
FilledSmallSquare FullSimplify[expr, assum] does simplification using assumptions.

FilledSmallSquare FullSimplify will always yield at least as simple a form as Simplify, but may take substantially longer.

FilledSmallSquare FullSimplify uses RootReduce on expressions that involve root objects.
FilledSmallSquare FullSimplify does transformations on most kinds of special functions.
FilledSmallSquare See notes for Simplify.
FilledSmallSquare See The Mathematica Book on the web: Section 1.4.4 and Section 3.3.9.
FilledSmallSquare Implementation Notes: see Section A.9.5.
FilledSmallSquare See also: Simplify, Factor, Expand, PowerExpand, ComplexExpand, TrigExpand, Element.