Algebraic Transformations
There are a number of built-in functions that perform:
- Structural Operations on Polynomials
- Finding the Structure of a Polynomial
- Structural Operations on Rational Expressions
- Polynomials over Algebraic Number Fields
- Simplification with or without Assumptions
- Apart — partial fraction decomposition
- Cancel — cancel common factors in rational expressions
- Coefficient — coefficient of a monomial in a polynomial expression
- CoefficientArrays — array of coefficients associated with a polynomial in many variables
- CoefficientList — list of coefficients defining a polynomial
- Collect — collect terms with a variable at the same power
- Denominator — denominator of an expression
- Expand — expand out products and powers
- ExpandAll — expand products and powers, including negative integer powers
- ExpandDenominator — expand just the denominator of a rational expression
- Exponent — maximum power in which a form appears in a polynomial
- Factor — factor sums into product and powers
- FactorTermsList — a polynomial as a list of factors
- FullSimplify — apply a full set of simplification transformations
- MinimalPolynomial — minimal polynomial for a general algebraic number
- Numerator — numerator of an expression
- PolynomialQ — test if the expression is a polynomial in a variable
- PowerExpand — expand out powers
- Simplify — apply transformations to simplify an expression
- Together — put over a common denominator
- Variables — list of variables in a polynomial