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based on an earlier version of the Wolfram Language.
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# ApartSquareFree

 ApartSquareFree[expr]rewrites a rational expression as a sum of terms whose denominators are powers of square-free polynomials. ApartSquareFreetreats all variables other than var as constants.
• 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.
Decompose into partial fractions using square-free factorization of the denominator:
Decompose into partial fractions using full factorization of the denominator:
Decompose into partial fractions using square-free factorization of the denominator:
 Out[1]=
Decompose into partial fractions using full factorization of the denominator:
 Out[2]=
 Scope   (3)
ApartSquareFree can handle symbolic parameters:
Treat as the main variable and as a constant:
Treat as the main variable and as a constant:
Here ApartSquareFree picks as the main variable and treats as a constant:
ApartSquareFree threads over equations and inequalities:
 Options   (2)
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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