ApartSquareFree

rewrites a rational expression as a sum of terms whose denominators are powers of square-free polynomials.

treats all variables other than var as constants.

Details and Options

ApartSquareFree gives the square-free partial fraction decomposition of a rational expression.
ApartSquareFree[expr,Trig->True] treats trigonometric functions as rational functions of exponentials, and manipulates them accordingly.
ApartSquareFree automatically threads over lists in expr, as well as equations, inequalities, and logic functions.

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Decompose into partial fractions using square-free factorization of the denominator:

Decompose into partial fractions using full factorization of the denominator:

Decompose a rational function into partial fractions using square-free factorization:

ApartSquareFree can handle symbolic parameters:

Treat as the main variable and as a constant:

Here ApartSquareFree picks as the main variable and treats as a constant:

ApartSquareFree can handle non-polynomial expressions:

ApartSquareFree threads over equations and inequalities:

Compute the square-free partial fraction representation over the integers modulo :

Compute the square-free partial fraction representation following common trigonometric identities:

Partial fraction decomposition over the rationals:

Partial fraction decomposition over the integers modulo 2:

Partial fraction decomposition of a trigonometric expression:

Together acts as an inverse of ApartSquareFree:

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