Simplify
Simplify[
expr
] performs a sequence of algebraic transformations on expr, and returns the simplest form it finds. Simplify[
expr
,
assum
] does simplification using assumptions.
Simplify tries expanding, factoring and doing other transformations on expressions, keeping track of the simplest form obtained. The following options can be given: Assumptions can consist of equations, inequalities, domain assertions 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 assertions. Example: Simplify[x^2 > 3, x > 2]
. Objects that are specified as satisfying inequalities are always assumed to be real. Example: Simplify[x
Reals, x > 0]
. FullSimplify does more extensive simplification than Simplify. See The Mathematica Book on the web:Section 1.4.4, Section 1.4.6 and Section 3.3.9. See also: FullSimplify, Factor, Expand, TrigExpand, PowerExpand, ComplexExpand, Element, FunctionExpand.
Further Examples
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