ApartSquareFree

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

ApartSquareFree[expr,var]
treats all variables other than var as constants.

Details and OptionsDetails 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.

ExamplesExamplesopen allclose all

Basic Examples  (1)Basic Examples  (1)

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

In[1]:=
Click for copyable input
Out[1]=

Decompose into partial fractions using full factorization of the denominator:

In[2]:=
Click for copyable input
Out[2]=
Introduced in 2007
(6.0)