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SOLUTIONS
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Functions
- Apart
- Assumptions
- Cancel
- Collect
- ComplexExpand
- ComplexityFunction
- ExcludedForms
- Expand
- ExpandAll
- ExpandNumerator
- ExpToTrig
- Factor
- FullSimplify
- FunctionExpand
- LogicalExpand
- PiecewiseExpand
- PowerExpand
- RootReduce
- Simplify
- TimeConstraint
- Together
- ToRadicals
- TransformationFunctions
- TrigExpand
- TrigFactor
- TrigReduce
- TrigToExp
- Related Guides
- 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.
ReferenceReference
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.
Polynomial Functions »
Expand — expand out products and powers
Factor — factor sums into products and powers
Collect — collect similar terms together
Rational Functions »
Together — put over a common denominator
Apart — break apart into partial fractions
ExpandNumerator ▪ ExpandAll ▪ Cancel ▪ ...
Trigonometric Functions »
TrigToExp, ExpToTrig — convert between exponentials and trigonometric functions
TrigExpand ▪ TrigFactor ▪ TrigReduce
Algebraic Numbers & Functions »
RootReduce — try to merge all roots to a single root
ToRadicals — try to convert roots to explicit radicals
PiecewiseExpand — expand out piecewise functions into explicit components
LogicalExpand — expand out Boolean expressions
Simplification Control
Assumptions — assumptions to make
ComplexityFunction — how to rank the complexity of expressions
