THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT.
SEE THE DOCUMENTATION CENTER FOR THE LATEST INFORMATION.

DOCUMENTATION CENTER SEARCH

BUILT-IN MATHEMATICA SYMBOL

ApartSquareFree

ApartSquareFree[expr]
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.

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]=

ApartSquareFree can handle symbolic parameters:

Treat

as the main variable and

as a constant:

Treat

as the main variable and

as a constant:

as the main variable and treats

as a constant:

ApartSquareFree threads over equations and inequalities:

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: