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.

Examples

Decompose a rational expression:

ApartSquareFree[1/((x - 1)^2 (x + 1)), x]

Compare with standard Apart:

ApartSquareFree[x/((x^2 - 1)^2), x]

Please visit the official Wolfram Language Reference for more details.