ApartSquareFree

Available

Partial fractions over the denominator's syntactic factor bases without factoring them (whole part split off; lists thread)

Forms

ApartSquareFree[expr]

ApartSquareFree[expr, var]

Verified examplesApartSquareFree[(x ^ 2 - 2) / (x ^ 4 - 2x ^ 2 + 1)] → (-2 + x^2)/(1 - 2*x^2 + x^4)ApartSquareFree[(x ^ 2 - a) / (x ^ 3 - 2a x ^ 2 + a ^ 2x)] → (-a + x^2)/(a^2*x - 2*a*x^2 + x^3)ApartSquareFree[1 < (x ^ 2 - 2) / (x ^ 4 - 2x ^ 2 + 1) < 2] → 1 < (-2 + x^2)/(1 - 2*x^2 + x^4) < 2Options

Modulus — default 0
Trig — default False

Run this on Qurak Search the reference

Topics

New In60 Algebraic Computing - New in Polynomial Manipulation
New In60 Alphabetical Listing - A
Polynomial Factoring - Rational Functions

Related

Apart FactorSquareFree Expand Factor HornerForm SquareFreeQ Accumulate ActionMenu AffineTransform AiryAiZero AiryBiZero AlgebraicIntegerQ

All 6300 functions · Use this from an MCP client