Simplify

Simplify[expr] performs a sequence of algebraic and other transformations on expr, and returns the simplest form it finds.

Simplify[expr, assum] does simplification using assumptions.

Simplify tries expanding, factoring and doing many other transformations on expressions, keeping track of the simplest form obtained.

The following options can be given:

Assumptions can consist of equations, inequalities, domain specifications such as x Integers, and logical combinations of these.

Example: Simplify[Sqrt[x^2], x Reals] .

Simplify can be used on equations, inequalities and domain specifications.

Example: Simplify[x^2 > 3, x > 2] .

Quantities that appear algebraically in inequalities are always assumed to be real.

Example: Simplify[x Reals, x > 0] .

FullSimplify does more extensive simplification than Simplify.

You can specify default assumptions for Simplify using Assuming.

See Section 1.4.4, Section 1.4.6 and Section 3.3.9.

Implementation Notes: see Section A.9.5.

See also: FullSimplify, Refine, Factor, Expand, TrigExpand, PowerExpand, ComplexExpand, Element, FunctionExpand, Reduce, Assuming.

New in Version 1; modified in 5.0.

Further Examples